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32 mod 11 – Remainder of 32 Divided by 11

32 mod 11, 32 modulo 11 as well as 32 modulus 11 all mean the same: 🙂

The remainder of the (Euclidean) division of 32 by 11.

32 mod 11 = 10

What is 32 modulo 11?

  • 32 is the dividend
  • 11 is the divisor (modulo)
  • 10 is the remainder

So, the answer is:

32 modulo 11 = 10


Next, we show you the math.

How is 32 mod 11 Calculated?

Any decimal number is made up of a whole part, followed by a decimal point, followed by its decimal digits.

Conduct the three steps below:

  1. Take the whole part of 32 / 11 called quotient: 2
  2. Multiply the quotient by the divisor: 2 × 11 = 22
  3. Subtract the result from step 2 from the dividend: 32 – 22 = 10

Proof: 10 = (2 × 11) + 10.

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– Article written by Mark, last updated on January 11th, 2024