82 mod 7 – Remainder of 82 Divided by 7

82 mod 7, 82 modulo 7 as well as 82 modulus 7 all mean the same: 🙂

The remainder of the (Euclidean) division of 82 by 7.

82 mod 7 = 5

What is 82 modulo 7?

• 82 is the dividend
• 7 is the divisor (modulo)
• 5 is the remainder

So, the answer is:

82 modulo 7 = 5

Next, we show you the math.

How is 82 mod 7 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 82 / 7 called quotient: 11
2. Multiply the quotient by the divisor: 11 × 7 = 77
3. Subtract the result from step 2 from the dividend: 82 – 77 = 5

Proof: 5 = (11 × 7) + 5.

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Similar calculations include, for example:

• 87 mod 7
• 88 mod 7
• 89 mod 7

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