# Remainder Calculator

> Remainder calculator: quotient and remainder of a division. Free remainder calculator with the formula shown - runs entirely in your browser, no signup.

- **Canonical URL:** https://boringtoolskit.com/remainder-calculator/
- **Category:** Everyday Calculators
- **Evidence level:** authored-methodology
- **Reviewed:** July 26, 2026
- **Last verified:** 2026-10-12
- **Privacy:** Inputs and results stay in this browser unless the page clearly labels an external request.

## How it works

Remainder = a - floor(a / b) x b.

## Worked example

17 divided by 5 leaves a quotient of 3 and a remainder of 2, since 5 x 3 = 15 and 17 - 15 = 2.

## Assumptions

- Division uses floor quotient: the largest whole number of times b fits in a.
- The divisor cannot be zero.

## Common questions

### What is the modulo operator?

Modulo returns exactly this remainder: 17 mod 5 = 2 in most programming languages.

### Can the remainder be negative?

With floor division the remainder is never negative; some languages return negatives with truncated division.

## Related tools

- /long-division-calculator/
- /modulo-calculator/
- /gcd-calculator/

## Sources

- [Calculation methodology](/methodology/)
- [Quality evidence and verification standard](/quality-evidence/)

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