Math

Modulo Calculator

Find the remainder and quotient of a division.

Parameters Live Compute
Calculated Output
a mod b 2
Quotient 3
Formula: a mod b = remainder of a ÷ b
Step-by-Step Breakdown
1. Values used:
2. Dividend (a) = 17
3. Divisor (b) = 5
4.
5. a mod b = 2
6. Quotient = 3
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The modulo gives the remainder after division.

The math behind it

a mod b = what's left after dividing a by b as many whole times as possible.

Worked Example

17 mod 5 = 2 (quotient 3).

Frequently Asked Questions

Use?

Wrapping clocks, cycles, hashing and parity (even/odd).

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