Modulo Calculator – Calculate and Find Remainders

Find the remainder of a division with our easy-to-use modulo calculator — ideal for math and programming tasks.

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What Is a Modulo Operation?

The modulo operation gives you the remainder after dividing one number by another. For example, 12 mod 5 is 2 because 12 ÷ 5 is 2 with a remainder of 2.

How to Use the Modulo Calculator

  1. Enter the dividend (number to divide).
  2. Enter the divisor.
  3. Click "Calculate" to see the remainder and breakdown.

Real-Life Uses of Modulo

  • Programming logic (e.g. even/odd checks)
  • Time conversions (e.g. 130 minutes is 2 hours and 10 minutes)
  • Math homework and number theory
  • Scheduling and repeating intervals

Formula for Modulo

The modulo formula is:

a mod b = r

Where:

  • a = dividend
  • b = divisor
  • r = remainder

So, if a = 12 and b = 5, then 12 mod 5 = 2.