Modulo Calculator

Calculate a mod b, view the integer quotient, and compare remainder handling for positive or negative inputs.

This tool expects integers. It shows both the raw remainder and a normalized modulo value.

Result will appear here.
Metric Value

Privacy: calculations run locally in your browser. No values are stored or transmitted.

How it works

Division relationship:
a = b × q + r
where q is the integer quotient and r is the remainder or modulo value.

Examples

  • 17 mod 5 = 2
  • 20 mod 4 = 0
  • -17 mod 5 normalized = 3

When to use this tool

This tool is designed for quick, practical tasks such as everyday calculations, data formatting, or simple conversions. It is best used when you need fast results without installing software or using complex tools.

When to use

  • Quick checks or one-time calculations
  • Validating or converting data before using it elsewhere
  • Simple tasks that do not require advanced software

When not to use

  • Critical financial, legal, or medical decisions
  • Large-scale or automated processing
  • Situations requiring guaranteed precision beyond basic validation

Always review results before using them in important contexts.

About this tool

This tool helps you perform quick utility operations directly in your browser. It runs entirely in your browser without sending data to a server.

You can use this tool when handling simple tasks without installing additional software. The results should be interpreted as a processed output based on your input data.

FAQ

  • What does modulo mean?

    Modulo gives the remainder after division. For example, 17 mod 5 = 2.

  • What happens if the divisor is 0?

    Modulo by zero is undefined, so the calculator will show an error.

  • How are negative values handled here?

    This tool shows both the JavaScript remainder and a normalized modulo value based on the absolute divisor.

  • Are calculations stored?

    No. Everything runs locally in your browser.

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