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 |
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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
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.