89 mod 11 – Remainder of 89 Divided by 11

89 mod 11, 89 modulo 11 as well as 89 modulus 11 all mean the same: 🙂

The remainder of the (Euclidean) division of 89 by 11.

89 mod 11 = 1

What is 89 modulo 11?

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

So, the answer is:

89 modulo 11 = 1

Next, we show you the math.

How is 89 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 89 / 11 called quotient: 8
2. Multiply the quotient by the divisor: 8 × 11 = 88
3. Subtract the result from step 2 from the dividend: 89 – 88 = 1

Proof: 1 = (8 × 11) + 1.

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Similar calculations include, for example:

• 94 mod 11
• 95 mod 11
• 96 mod 11

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