94 mod 7 – Remainder of 94 Divided by 7

94 mod 7, 94 modulo 7 as well as 94 modulus 7 all mean the same: 🙂

The remainder of the (Euclidean) division of 94 by 7.

94 mod 7 = 3

What is 94 modulo 7?

• 94 is the dividend
• 7 is the divisor (modulo)
• 3 is the remainder

So, the answer is:

94 modulo 7 = 3

Next, we show you the math.

How is 94 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 94 / 7 called quotient: 13
2. Multiply the quotient by the divisor: 13 × 7 = 91
3. Subtract the result from step 2 from the dividend: 94 – 91 = 3

Proof: 3 = (13 × 7) + 3.

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Similar calculations include, for example:

• 99 mod 7
• 100 mod 7
• 0 mod 8

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