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89 mod 13 – Remainder of 89 Divided by 13

89 mod 13, 89 modulo 13 as well as 89 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 89 by 13.

89 mod 13 = 11

What is 89 modulo 13?

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

So, the answer is:

89 modulo 13 = 11


Next, we show you the math.

How is 89 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 89 / 13 called quotient: 6
  2. Multiply the quotient by the divisor: 6 × 13 = 78
  3. Subtract the result from step 2 from the dividend: 89 – 78 = 11

Proof: 11 = (6 × 13) + 11.

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