77 mod 13 – Remainder of 77 Divided by 13

77 mod 13, 77 modulo 13 as well as 77 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 77 by 13.

77 mod 13 = 12

What is 77 modulo 13?

• 77 is the dividend
• 13 is the divisor (modulo)
• 12 is the remainder

So, the answer is:

77 modulo 13 = 12

Next, we show you the math.

How is 77 mod 13 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 77 / 13 called quotient: 5
2. Multiply the quotient by the divisor: 5 × 13 = 65
3. Subtract the result from step 2 from the dividend: 77 – 65 = 12

Proof: 12 = (5 × 13) + 12.

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Similar calculations include, for example:

• 82 mod 13
• 83 mod 13
• 84 mod 13

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