100 mod 7 – Remainder of 100 Divided by 7

100 mod 7, 100 modulo 7 as well as 100 modulus 7 all mean the same: 🙂

The remainder of the (Euclidean) division of 100 by 7.

100 mod 7 = 2

What is 100 modulo 7?

• 100 is the dividend
• 7 is the divisor (modulo)
• 2 is the remainder

So, the answer is:

100 modulo 7 = 2

Next, we show you the math.

How is 100 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 100 / 7 called quotient: 14
2. Multiply the quotient by the divisor: 14 × 7 = 98
3. Subtract the result from step 2 from the dividend: 100 – 98 = 2

Proof: 2 = (14 × 7) + 2.

Modulo Calculator

If you have another modulo operation enter it here:

Number:

Modulo:

Remainder:

Reset

Similar calculations include, for example:

• 4 mod 8
• 5 mod 8
• 6 mod 8

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