Math & Geometry

Remainder Calculator

Calculate the integer quotient and signed remainder when one integer is divided by another.

Calculator guide

How to use the Remainder Calculator

Calculate the integer quotient and signed remainder when one integer is divided by another. Enter the requested values and select Calculate. The result and supporting values are produced locally in your browser.

Formula

Dividend = Divisor × Truncated Quotient + Remainder

Worked example

17 divided by 5 has an integer quotient of 3 and a remainder of 2.

What to keep in mind

  • This calculator uses truncation toward zero for the integer quotient.
  • For a non-negative modulo with a positive divisor, use the Modulo Calculator.

Methodology

This calculator uses deterministic arithmetic and performs the calculation locally in your browser. Verify assumptions, units, and source values for your specific use case.

Review standard: Level A · Standard formula. How calculator reviews work.

Frequently asked questions

What does this calculator calculate?

Calculate the integer quotient and signed remainder when one integer is divided by another.

How is the result calculated?

Dividend = Divisor × Truncated Quotient + Remainder.

Can I use the result for an important decision?

Use the result as a calculation aid and verify the inputs, assumptions, and applicable professional or regulatory requirements before relying on it for an important decision.

Does CalculateMeasure store the values I enter?

The calculator performs its arithmetic in your browser. The calculator itself does not need to send your entered values to a server to produce the result.