What is the quotient and remainder when 81 is divided by 6?

• A. 13 R 1
• B. 13 R 3
• C. 13 R 4
• D. 13 R 2

Answer: (B)

Dividing 81 by 6 asks how many times 6 fits into 81 and what is left over. Multiply 6 by a guess for the quotient: 6 × 13 = 78. Subtracting from 81 leaves 3. The remainder must be smaller than the divisor, and 3 is indeed less than 6, so it’s valid. Since 6 × 14 = 84 would exceed 81, 13 is the largest whole number of times 6 fits. Therefore, the quotient is 13 and the remainder is 3.