What is 500 divided by 14?

• A. 35 R 9
• B. 35 R 11
• C. 34 R 10
• D. 35 R 10

Answer: (D)

Dividing with remainder means writing the dividend as a multiple of the divisor plus a leftover. You want the largest whole number of times 14 fits into 500 without going over.

Check multiples: 14 × 35 = 490, which is ≤ 500, and 14 × 36 = 504, which is too large. So the whole-number part of the quotient is 35. The leftover is 500 − 490 = 10, so the remainder is 10.

Equivalently, 500 = 14 × 35 + 10. That’s why the result is a quotient of 35 with a remainder of 10.