{"id":307,"date":"2026-10-03T13:19:01","date_gmt":"2026-10-03T12:19:01","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/bolme-hesaplayici\/"},"modified":"2026-10-03T13:19:01","modified_gmt":"2026-10-03T12:19:01","slug":"bolme-hesaplayici","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/bolme-hesaplayici\/","title":{"rendered":"B\u00f6lme Hesaplay\u0131c\u0131"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Say\u0131lar\u0131 B\u00f6lme<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"307\" data-favorite-title=\"B\u00f6lme\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/bolme-hesaplayici\/\" data-favorite-excerpt=\"\u0130ki veya daha fazla say\u0131y\u0131 an\u0131nda b\u00f6l\u00fcn. B\u00f6l\u00fcnen ve b\u00f6leni (ya da tam bir say\u0131 zincirini) girin; hesaplay\u0131c\u0131 b\u00f6lme i\u015flemini ad\u0131m ad\u0131m, soldan sa\u011fa yapar ve kesin b\u00f6l\u00fcm\u00fc g\u00f6sterir.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-arithmetic\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/matematik\/bolme-hesaplayici\/\" method=\"POST\" class=\"calculator\" id=\"calculator-307\" data-post=\"307\"><fieldset class=\"fieldset-input\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field is-single\" id=\"input-1\"><label for=\"field-1\">Ka\u00e7 say\u0131?<\/label><input type=\"text\" name=\"ka_say\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"2\" value=\"2\"\/><small id=\"calc-info-1\">S\u0131ral\u0131 olarak b\u00f6l\u00fcnecek say\u0131 adedini se\u00e7in (A \u00f7 B \u00f7 C \u2026)<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">1. say\u0131<\/label><div class=\"term\">n\u2081<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"1_say\" id=\"field-2\" step=\"any\" value=\"100\"\/><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">2. say\u0131<\/label><div class=\"term\">n\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"2_say\" id=\"field-3\" step=\"any\" value=\"2\"\/><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"307\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Sonu\u00e7lar\u0131n\u0131z<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Sonu\u00e7<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"307\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>B\u00f6lme Form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ \\text{B\u00f6l\u00fcm} = \\frac{a}{b} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(a\\) \u2014 b\u00f6l\u00fcnen (b\u00f6l\u00fclen say\u0131)<\/li>\n<li>\\(b\\) \u2014 b\u00f6len (say\u0131y\u0131 b\u00f6ld\u00fc\u011f\u00fcn\u00fcz say\u0131)<\/li>\n<\/ul>\n<p>\\(a\\) say\u0131s\u0131n\u0131 \\(b\\) say\u0131s\u0131na b\u00f6lmek \u015fu soruya cevap verir: \\(b\\), \\(a\\) i\u00e7inde ka\u00e7 kez bulunur? \u0130kiden fazla say\u0131 girildi\u011finde hesaplay\u0131c\u0131 bunlar\u0131 soldan sa\u011fa s\u0131rayla b\u00f6ler:<\/p>\n<p>\\[ q = ((n_1 \\div n_2) \\div n_3) \\div \\cdots \\div n_k \\]<\/p>\n<p>Bu soldan sa\u011fa s\u0131ralama \u00f6nemlidir, \u00e7\u00fcnk\u00fc b\u00f6lme i\u015flemi birle\u015fme \u00f6zelli\u011fine sahip de\u011fildir \u2014 say\u0131lar\u0131 farkl\u0131 bi\u00e7imde grupland\u0131rmak sonucu de\u011fi\u015ftirir.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>B\u00f6lme \u2013 Hesaplama \u00d6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> 100'\u00fc 2 e\u015fit par\u00e7aya b\u00f6l\u00fcn, yani 100 \u00f7 2 i\u015flemini hesaplay\u0131n.<\/p>\n<p>\\[ 100 \\div 2 = \\frac{100}{2} = 50 \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> 50<\/p>\n<p>\u00c7arpma i\u015flemiyle kontrol edebilirsiniz: \\(50 \\times 2 = 100\\), dolay\u0131s\u0131yla b\u00f6l\u00fcm do\u011frudur.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Ka\u00e7 say\u0131?<\/strong> alan\u0131nda zincir halinde b\u00f6lmek istedi\u011finiz de\u011fer say\u0131s\u0131n\u0131 se\u00e7in (en az 2).<\/li>\n<li>\\(n_1\\) etiketli <strong>1. Say\u0131<\/strong> alan\u0131na ilk say\u0131y\u0131 (b\u00f6l\u00fcneni) girin.<\/li>\n<li>\\(n_2\\) etiketli <strong>2. Say\u0131<\/strong> alan\u0131na b\u00f6leni girin.<\/li>\n<li>\u0130kiden fazla say\u0131 se\u00e7tiyseniz ek alanlar (<strong>3. Say\u0131<\/strong>, <strong>4. Say\u0131<\/strong>, \u2026) otomatik olarak g\u00f6r\u00fcn\u00fcr \u2014 bunlar\u0131 doldurun. B\u00f6lme soldan sa\u011fa yap\u0131l\u0131r: \\(n_1 \\div n_2 \\div n_3 \\ldots\\)<\/li>\n<li><strong>Sonu\u00e7<\/strong> alan\u0131 an\u0131nda g\u00fcncellenir. B\u00f6lenlerden herhangi biri 0 ise hesaplay\u0131c\u0131 \"S\u0131f\u0131ra b\u00f6lme\" hatas\u0131 g\u00f6sterir.<\/li>\n<\/ol>\n<h2>B\u00f6lme nedir?<\/h2>\n<p>B\u00f6lme, toplama, \u00e7\u0131karma ve \u00e7arpma ile birlikte d\u00f6rt temel aritmetik i\u015flemden biridir. Bir miktar\u0131 e\u015fit par\u00e7alara ay\u0131r\u0131r: b\u00f6l\u00fcnen ba\u015flang\u0131\u00e7taki miktard\u0131r, b\u00f6len par\u00e7a say\u0131s\u0131d\u0131r, b\u00f6l\u00fcm ise her par\u00e7an\u0131n b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr. \u00d6rne\u011fin 100'\u00fc 2'ye b\u00f6lmek, 100'\u00fc 50'lik 2 e\u015fit gruba ay\u0131rmak demektir.<\/p>\n<p>B\u00f6lme, \u00e7arpman\u0131n tersidir. Her b\u00f6lme problemi geri \u00e7arp\u0131larak kontrol edilebilir: e\u011fer \\(a \\div b = q\\) ise, \\(q \\times b\\) i\u015flemi \\(a\\) de\u011ferini geri vermelidir. Bu ili\u015fki i\u015flem ailelerinin temelidir ve hesaplay\u0131c\u0131n\u0131n \u00e7\u0131kt\u0131s\u0131n\u0131 elle do\u011frulaman\u0131n da yoludur.<\/p>\n<p>B\u00f6lmenin sonucu her zaman tam say\u0131 olmayabilir. B\u00f6l\u00fcnen b\u00f6lenin kat\u0131 de\u011filse ondal\u0131kl\u0131 bir b\u00f6l\u00fcm elde edilir (\u00f6rne\u011fin \\(10 \\div 4 = 2.5\\)) ya da cevab\u0131 kalanl\u0131 bir b\u00f6l\u00fcm olarak ifade edebilirsiniz (\\(10 \\div 4 = 2\\) kalan \\(2\\)). \u00d6zellikle tam say\u0131 b\u00f6l\u00fcm\u00fc ve kalan gerekiyorsa <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/taban-bolme\/\">Kalanl\u0131 B\u00f6lme Hesaplay\u0131c\u0131<\/a> bu durumu ele al\u0131r.<\/p>\n<h2>Birden fazla say\u0131y\u0131 b\u00f6lerken i\u015flem s\u0131ras\u0131<\/h2>\n<p>Bir say\u0131 zincirini b\u00f6lerken s\u0131ra \u00f6nemlidir. Hesaplay\u0131c\u0131 \u2014 standart matematik kural\u0131 gibi \u2014 b\u00f6lmeyi <strong>soldan sa\u011fa<\/strong> yapar. \u00dc\u00e7 say\u0131 i\u00e7in:<\/p>\n<p>\\[ 100 \\div 5 \\div 2 = (100 \\div 5) \\div 2 = 20 \\div 2 = 10 \\]<\/p>\n<p>Bu, \\(100 \\div (5 \\div 2) = 100 \\div 2.5 = 40\\) ile ayn\u0131 de\u011fildir. Dolay\u0131s\u0131yla birden fazla say\u0131 girerken i\u015flemi tek bir kesir (ilk say\u0131n\u0131n di\u011ferlerinin \u00e7arp\u0131m\u0131n\u0131n \u00fczerine konmas\u0131) olarak de\u011fil, ikili b\u00f6lmeler dizisi olarak d\u00fc\u015f\u00fcn\u00fcn.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>S\u0131f\u0131ra b\u00f6lme tan\u0131ms\u0131zd\u0131r.<\/strong> \u0130lk say\u0131dan sonraki herhangi bir say\u0131 0 ise hesaplay\u0131c\u0131 hata g\u00f6sterir. 0 ile \u00e7arp\u0131ld\u0131\u011f\u0131nda b\u00f6l\u00fcneni veren bir say\u0131 yoktur.<\/li>\n<li><strong>\u0130\u015faretler bilinen kurallar\u0131 izler:<\/strong> pozitifin pozitife b\u00f6l\u00fcm\u00fc pozitiftir; iki negatif say\u0131 pozitif verir; kar\u0131\u015f\u0131k i\u015faretler negatif sonu\u00e7 verir.<\/li>\n<li><strong>Yuvarlama:<\/strong> sonu\u00e7lar 4 ondal\u0131k basama\u011fa yuvarlanarak g\u00f6sterilir. Daha fazla hassasiyet gerekiyorsa (\u00f6rne\u011fin \\(1 \\div 3\\) gibi kesirlerde) g\u00f6r\u00fcnt\u00fcn\u00fcn k\u0131salt\u0131ld\u0131\u011f\u0131n\u0131 unutmay\u0131n.<\/li>\n<li><strong>Ondal\u0131kl\u0131 ve negatif say\u0131lar desteklenir;<\/strong> her giri\u015f alan\u0131nda kullan\u0131labilir, dolay\u0131s\u0131yla \\(-7.5 \\div 2.5 = -3\\) gibi de\u011ferleri b\u00f6lebilirsiniz.<\/li>\n<li>B\u00f6lme \u00e7arpmay\u0131 geri ald\u0131\u011f\u0131ndan sonu\u00e7lar\u0131 <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/carpma-hesaplayici\/\">\u00c7arpma Hesaplay\u0131c\u0131<\/a> ile \u00e7apraz kontrol edebilirsiniz. Di\u011fer temel i\u015flemler i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/toplama-hesaplayici\/\">Toplama<\/a> ve <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/cikarma-hesaplayici\/\">\u00c7\u0131karma<\/a> hesaplay\u0131c\u0131lar\u0131na bak\u0131n.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki veya daha fazla say\u0131y\u0131 an\u0131nda b\u00f6l\u00fcn. B\u00f6l\u00fcnen ve b\u00f6leni (ya da tam bir say\u0131 zincirini) girin; hesaplay\u0131c\u0131 b\u00f6lme i\u015flemini ad\u0131m ad\u0131m, soldan sa\u011fa yapar ve kesin b\u00f6l\u00fcm\u00fc g\u00f6sterir.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[18],"class_list":["post-307","post","type-post","status-publish","format-standard","hentry","category-matematik","tag-aritmetik-hesap-makineleri"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/307","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=307"}],"version-history":[{"count":5,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/307\/revisions"}],"predecessor-version":[{"id":2723,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/307\/revisions\/2723"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=307"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=307"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=307"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}