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Modulo Calculator

Calculate a quotient truncated toward zero and its division remainder.

How to use

  1. Enter the dividend.
  2. Enter a non-zero divisor and calculate.

Capabilities and scope

This runner follows remainder semantics close to JavaScript rather than a modulo definition that is always non-negative.

How it works

It uses q=Math.trunc(dividend/divisor) and r=dividend−q×divisor.

Example

17 divided by 5 gives quotient 3 and remainder 2, verifying 17=5×3+2.

Useful for

  • Check remainder behavior used by programming languages
  • View integer quotient and remainder together

Before you use it

  • A zero divisor is rejected, and negative inputs can differ from always-nonnegative modulo conventions.

Frequently asked questions

Why can a negative dividend produce a negative remainder?

Because the quotient is truncated toward zero before the remainder is formed.

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