36 mod 7 – Remainder of 36 Divided by 7

36 mod 7, 36 modulo 7 as well as 36 modulus 7 all mean the same: 🙂

The remainder of the (Euclidean) division of 36 by 7.

36 mod 7 = 1

What is 36 modulo 7?

• 36 is the dividend
• 7 is the divisor (modulo)
• 1 is the remainder

So, the answer is:

36 modulo 7 = 1

Next, we show you the math.

How is 36 mod 7 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 36 / 7 called quotient: 5
2. Multiply the quotient by the divisor: 5 × 7 = 35
3. Subtract the result from step 2 from the dividend: 36 – 35 = 1

Proof: 1 = (5 × 7) + 1.

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Similar calculations include, for example:

• 41 mod 7
• 42 mod 7
• 43 mod 7

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