71 mod 11 – Remainder of 71 Divided by 11

71 mod 11, 71 modulo 11 as well as 71 modulus 11 all mean the same: 🙂

The remainder of the (Euclidean) division of 71 by 11.

71 mod 11 = 5

What is 71 modulo 11?

• 71 is the dividend
• 11 is the divisor (modulo)
• 5 is the remainder

So, the answer is:

71 modulo 11 = 5

Next, we show you the math.

How is 71 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 71 / 11 called quotient: 6
2. Multiply the quotient by the divisor: 6 × 11 = 66
3. Subtract the result from step 2 from the dividend: 71 – 66 = 5

Proof: 5 = (6 × 11) + 5.

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Similar calculations include, for example:

• 76 mod 11
• 77 mod 11
• 78 mod 11

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