58 mod 11 – Remainder of 58 Divided by 11

58 mod 11, 58 modulo 11 as well as 58 modulus 11 all mean the same: 🙂

The remainder of the (Euclidean) division of 58 by 11.

58 mod 11 = 3

What is 58 modulo 11?

• 58 is the dividend
• 11 is the divisor (modulo)
• 3 is the remainder

So, the answer is:

58 modulo 11 = 3

Next, we show you the math.

How is 58 mod 11 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 58 / 11 called quotient: 5
2. Multiply the quotient by the divisor: 5 × 11 = 55
3. Subtract the result from step 2 from the dividend: 58 – 55 = 3

Proof: 3 = (5 × 11) + 3.

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Similar calculations include, for example:

• 63 mod 11
• 64 mod 11
• 65 mod 11

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