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53 mod 11 – Remainder of 53 Divided by 11

53 mod 11, 53 modulo 11 as well as 53 modulus 11 all mean the same: 🙂

The remainder of the (Euclidean) division of 53 by 11.

53 mod 11 = 9

What is 53 modulo 11?

  • 53 is the dividend
  • 11 is the divisor (modulo)
  • 9 is the remainder

So, the answer is:

53 modulo 11 = 9


Next, we show you the math.

How is 53 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 53 / 11 called quotient: 4
  2. Multiply the quotient by the divisor: 4 × 11 = 44
  3. Subtract the result from step 2 from the dividend: 53 – 44 = 9

Proof: 9 = (4 × 11) + 9.

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