Modulo Calculator (remainder)

Find the remainder and quotient of a division (a mod b).

Result

Remainder (a mod b)

2.0000

Quotient

3

How it works

a = quotient × b + remainder

The modulo is the remainder left after dividing a by b. Example: 17 mod 5 = 2, with a quotient of 3 (since 3×5 + 2 = 17).

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Frequently asked questions

What is 17 mod 5?

2 — because 17 = 3×5 + 2.

What if the divisor is 0?

Division by zero is undefined, so the result is shown as 0.

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