To find the value of \( 96 \mod 7 \), we need to divide 96 by 7 and determine the remainder.

### Step 1: Perform the division
\[
96 \div 7 = 13 \ \text{(quotient)}, \quad 96 - 13 \times 7 = 96 - 91 = 5
\]

### Step 2: Conclusion
Thus, the remainder is \( 5 \), so:

\[
96 \equiv 5 \ (\text{mod} \ 7)
\]

Therefore, the value of \( 96 \mod 7 \) is \( 5 \).

Would you like further clarifications or have other questions?

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Here are 5 related questions:
1. What is the remainder when 250 is divided by 7?
2. How would you compute \( 123 \mod 9 \)?
3. What is \( 96^2 \mod 7 \)?
4. How does modular arithmetic help in cryptography?
5. Can you find the remainder of \( 96 \mod 5 \)?

**Tip:** To quickly compute a number modulo \( m \), subtract multiples of \( m \) from the number until the result lies between 0 and \( m-1 \).

Learn how to find the remainder when dividing 96 by 7 using modular arithmetic. This detailed solution explains the steps involved in the division algorithm and how to compute 96 mod 7. Suitable for students in Grades 6-8.

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