99 mod 13 – Remainder of 99 Divided by 13

99 mod 13, 99 modulo 13 as well as 99 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 99 by 13.

99 mod 13 = 8

What is 99 modulo 13?

• 99 is the dividend
• 13 is the divisor (modulo)
• 8 is the remainder

So, the answer is:

99 modulo 13 = 8

Next, we show you the math.

How is 99 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 99 / 13 called quotient: 7
2. Multiply the quotient by the divisor: 7 × 13 = 91
3. Subtract the result from step 2 from the dividend: 99 – 91 = 8

Proof: 8 = (7 × 13) + 8.

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Similar calculations include, for example:

• 3 mod 14
• 4 mod 14
• 5 mod 14

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