Home » Modulo Division » mod 13 » 83 mod 13 – Remainder of 83 Divided by 13

83 mod 13 – Remainder of 83 Divided by 13

83 mod 13, 83 modulo 13 as well as 83 modulus 13 all mean the same: 🙂

The remainder of the (Euclidean) division of 83 by 13.

83 mod 13 = 5

What is 83 modulo 13?

  • 83 is the dividend
  • 13 is the divisor (modulo)
  • 5 is the remainder

So, the answer is:

83 modulo 13 = 5


Next, we show you the math.

How is 83 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 83 / 13 called quotient: 6
  2. Multiply the quotient by the divisor: 6 × 13 = 78
  3. Subtract the result from step 2 from the dividend: 83 – 78 = 5

Proof: 5 = (6 × 13) + 5.

Modulo Calculator

If you have another modulo operation enter it here:

Reset

Similar calculations include, for example:

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