Floor Division Calculator
This calculator performs floor division, which divides two numbers and rounds the result down to the nearest whole number. It’s useful in programming, math, and logic where integer-based division is needed without remainders or decimals.
Perform Integer (Floor) Division Online
Floor Division Formula
$$a \mathbin{//} b = \left\lfloor \frac{a}{b} \right\rfloor$$
Explanation:
Floor division returns the greatest integer less than or equal to the result of \frac{a}{b}. It’s often used in integer math or loop iterations where decimal precision is not needed.
Floor Division – Calculation Example
15 ÷ 4 = 3.75
Floor division: ⌊15 / 4⌋ = 3
-7 ÷ 2 = -3.5
Floor division: ⌊-7 / 2⌋ = -4
Floor division is commonly used in computer science (e.g., Python’s // operator), algorithm design, pagination, indexing, and math problems where only whole-number results are required. This calculator ensures accurate and fast integer division with both positive and negative inputs.