53 mod 8 – Remainder of 53 Divided by 8

53 mod 8, 53 modulo 8 as well as 53 modulus 8 all mean the same: 🙂

The remainder of the (Euclidean) division of 53 by 8.

53 mod 8 = 5

What is 53 modulo 8?

• 53 is the dividend
• 8 is the divisor (modulo)
• 5 is the remainder

So, the answer is:

53 modulo 8 = 5

Next, we show you the math.

How is 53 mod 8 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 53 / 8 called quotient: 6
2. Multiply the quotient by the divisor: 6 × 8 = 48
3. Subtract the result from step 2 from the dividend: 53 – 48 = 5

Proof: 5 = (6 × 8) + 5.

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Similar calculations include, for example:

• 58 mod 8
• 59 mod 8
• 60 mod 8

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