What is the modulo operation?

Modulo (mod) returns the remainder after division. For example, 17 mod 5 = 2 because 17 ÷ 5 = 3 remainder 2.

Is modulo the same as remainder?

For positive numbers, yes. For negative numbers, the behavior differs between programming languages. This tool shows the mathematical modulo.

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Calculate A mod B (modulo/remainder) with step-by-step explanation showing the division, quotient, and remainder.

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A (Dividend)

B (Divisor)

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