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30 mod 11 – Remainder of 30 Divided by 11

30 mod 11, 30 modulo 11 as well as 30 modulus 11 all mean the same: 🙂

The remainder of the (Euclidean) division of 30 by 11.

30 mod 11 = 8

What is 30 modulo 11?

  • 30 is the dividend
  • 11 is the divisor (modulo)
  • 8 is the remainder

So, the answer is:

30 modulo 11 = 8


Next, we show you the math.

How is 30 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 30 / 11 called quotient: 2
  2. Multiply the quotient by the divisor: 2 × 11 = 22
  3. Subtract the result from step 2 from the dividend: 30 – 22 = 8

Proof: 8 = (2 × 11) + 8.

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