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63 mod 13 – Remainder of 63 Divided by 13

63 mod 13, 63 modulo 13 as well as 63 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 63 by 13.

63 mod 13 = 11

What is 63 modulo 13?

  • 63 is the dividend
  • 13 is the divisor (modulo)
  • 11 is the remainder

So, the answer is:

63 modulo 13 = 11


Next, we show you the math.

How is 63 mod 13 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 63 / 13 called quotient: 4
  2. Multiply the quotient by the divisor: 4 × 13 = 52
  3. Subtract the result from step 2 from the dividend: 63 – 52 = 11

Proof: 11 = (4 × 13) + 11.

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