67 mod 7 – Remainder of 67 Divided by 7

67 mod 7, 67 modulo 7 as well as 67 modulus 7 all mean the same: 🙂

The remainder of the (Euclidean) division of 67 by 7.

67 mod 7 = 4

What is 67 modulo 7?

• 67 is the dividend
• 7 is the divisor (modulo)
• 4 is the remainder

So, the answer is:

67 modulo 7 = 4

Next, we show you the math.

How is 67 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 67 / 7 called quotient: 9
2. Multiply the quotient by the divisor: 9 × 7 = 63
3. Subtract the result from step 2 from the dividend: 67 – 63 = 4

Proof: 4 = (9 × 7) + 4.

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Similar calculations include, for example:

• 72 mod 7
• 73 mod 7
• 74 mod 7

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