### Instruction: Find the remainder when 237 is divided by 13 using modular arithmetic.### Response: To find the remainder when 237 is divided by 13 using modular arithmetic, we can use the modulo operation:

237 ≡ x (mod 13)

To find x, we can divide 237 by 13 and find the remainder:

237 ÷ 13 = 18 with a remainder of 3

So, 237 ≡ 3 (mod 13). The remainder when 237 is divided by 13 is 3.