Modulo Calculator

Calculate the remainder after division and see the full modulo formula beside the answer.

Last updated: March 2026 | By ForgeCalc Engineering

Modulo Solver

Remainder calculation

Dividend

Divisor

Calculation Steps

1.Divide 10 by 3: 10 ÷ 3 = 3 with remainder 1

2.Apply the modulo formula: 10 mod 3 = 10 - (3 × floor(10/3))

3.10 - (3 × 3) = 10 - 9 = 1

Remainder

10 mod 3 = 1

The modulo operation returns the remainder after division. It is used in arithmetic, computer science, cyclic indexing, and checking divisibility.

a mod n = a - (n × floor(a / n))

Example: 10 mod 3 = 1.

10 - (3 × 3) = 1

Is modulo the same as remainder?

Not always. Some programming languages expose remainder behavior that differs for negative values.

Can the divisor be negative?

The calculator accepts it, but the result follows the standard modulo formula used here.

What if the divisor is zero?

Zero is rejected because division by zero is undefined.

Does this calculator support decimals?

Yes. Any finite real numbers are accepted.

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