Quotient Calculator — Integer Division & Remainder
Find the quotient and remainder of any division instantly. Enter a dividend and a non-zero divisor to get the integer quotient (truncated toward zero), the remainder, the floored (Python-style) quotient, and the exact decimal result.
Integer result of division (truncated toward zero)
- 1
Exact division
17 ÷ 5 = 3.4 - 2
Integer quotient (truncate toward zero)
trunc(3.4) = 3 - 3
Remainder
17 − 3 × 5 = 2The remainder carries the sign of the dividend under the truncated-division convention.
How does this calculator work?
Quotient = trunc(a / b), Remainder = a − quotient × b. For 17 ÷ 5: quotient = 3, remainder = 2, exact = 3.4. For negative numbers, truncated (toward-zero) and floored (toward −∞) conventions differ — both are shown so you can match your programming language or math context.
Formula
How this is calculated
Division splits one number (the dividend, a) into groups of another (the divisor, b). When both are integers and you want a whole-number result, you get a quotient and a remainder. Two conventions exist for negative numbers: truncated division rounds the quotient toward zero (so −17 ÷ 5 = −3 remainder −2), while floored division (Euclidean or Python-style) rounds the quotient toward negative infinity (−17 ÷ 5 = −4 with modulo 3, always non-negative when the divisor is positive).
For positive integers the two conventions agree. The difference only emerges with negative dividends or divisors. Most programming languages use truncated division for the `/` and `%` operators (C, Java, JavaScript, C#, Rust), while Python uses floored division for `//` and `%`, keeping the modulo result non-negative whenever the divisor is positive. This calculator shows both so you can pick the one matching your use case.
The exact decimal result is shown alongside so you can see the fractional part. For very large integers, floating-point precision is limited to about 15–16 significant decimal digits.
Frequently asked questions
For positive dividends and divisors they are the same. They differ for negative numbers. Remainder (truncated division) carries the sign of the dividend: −17 ÷ 5 gives remainder −2. Modulo (floored division) carries the sign of the divisor: −17 mod 5 gives 3, because −4 × 5 + 3 = −17.
The quotient is the result of dividing one number by another. In integer division it is specifically the whole-number part of that result — any fractional part is expressed separately as the remainder.
Yes — the calculator accepts any real-number dividend and divisor. The integer quotient and remainder are still computed via truncation. However, the Euclidean interpretation is most meaningful for integers; for decimal inputs the exact result column is usually the most useful figure.
Also known as
TG we-Calculate Editorial Team. (2026). Quotient Calculator — Integer Division & Remainder [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/quotient-calculator
TG we-Calculate Editorial Team. "Quotient Calculator — Integer Division & Remainder." TG we-Calculate. 2026. https://we-calculate.com/calculator/quotient-calculator.
TG we-Calculate Editorial Team, "Quotient Calculator — Integer Division & Remainder," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/quotient-calculator
@misc{wecalculate_quotient_calculator, title = {Quotient Calculator — Integer Division & Remainder}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/quotient-calculator}}, year = {2026}, note = {TG we-Calculate} }
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