To compute \( 56973 \% 8 \) (the remainder when 56973 is divided by 8), we can use modular arithmetic. Let me calculate that.

\[
56973 \div 8 = 7121 \text{ remainder } 5
\]

Thus, \( 56973 \% 8 = 5 \).

Would you like more details or have any questions?

Here are some related questions:
1. What is the significance of modular arithmetic in number theory?
2. How do you find the remainder when dividing large numbers?
3. Can a remainder ever be larger than the divisor?
4. How does modular arithmetic apply to cryptography?
5. What is the difference between quotient and remainder in division?

**Tip:** Modular arithmetic is frequently used in computer science for tasks like hashing and cyclic operations.

Learn how to solve 56973 % 8 using modular arithmetic. This step-by-step explanation shows how to divide 56973 by 8, find the quotient, and calculate the remainder. This problem demonstrates the use of division and modular arithmetic, suitable for Grades 6-8 students.

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