Modulo Calculator.

Calculate a remainder and compare signed remainder with mathematical non-negative modulo.

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Dividend (a)

Divisor (b)

Convention

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Enter a dividend and a non-zero divisor. Results update as you type.

JavaScript remainder (%) truncates the quotient toward zero and follows the dividend's sign.

Mathematical modulo is always between 0 (inclusive) and the absolute divisor (exclusive), including for negative inputs.

What is the difference between remainder and modulo?

A signed remainder follows the dividend's sign, while mathematical modulo is normalized to a non-negative value below the absolute divisor.

Can the divisor be negative?

Yes. The signed remainder follows JavaScript's operator semantics, while mathematical modulo uses the absolute divisor for its non-negative range.