Modulo Calculator

Calculate the modulo (remainder) of division. Free online modulo calculator for programming and math.

The Modulo Calculator computes the remainder when one number is divided by another. Modular arithmetic is fundamental in programming, cryptography, and number theory. Whether you're checking divisibility, working with clock arithmetic, or implementing algorithms, this tool provides instant modulo calculations with clear dividend, divisor, quotient, and remainder values.

Common use cases

  • Programming loop indices
  • Cryptographic algorithms
  • Checking even/odd numbers
  • Cyclic pattern calculations
  • Hash function implementations

How to use

  1. Enter the dividend (number to divide)
  2. Enter the divisor (number to divide by)
  3. Click calculate for the remainder
  4. View quotient and remainder together
  5. Understand the division relationship

FAQ

What is modulo?

Modulo (mod) gives the remainder after division. 17 mod 5 = 2 because 17 = 5×3 + 2.

How is modulo used in programming?

For cyclic behavior (arrays, time), checking divisibility, and implementing algorithms like hashing.

What about negative numbers?

Conventions vary. Mathematical mod is always non-negative; some programming languages return negative remainders.

Is modulo the same as remainder?

For positive numbers, yes. For negative numbers, the definition can differ between math and programming contexts.