College Math Placement Practice Test

Using long division, what is the quotient and remainder when dividing 661 by 5?

1. A. 130; R5

2. B. 132; R1

3. C. 132; R2

4. D. 130; R3

The correct answer is: B. 132; R1

To determine the quotient and remainder when 661 is divided by 5 using long division, we follow the procedure of dividing step by step. 1. Start by seeing how many times 5 can go into the first digit of 661. Since 5 cannot go into 6 more than once, we place 1 in the quotient. Subtract 5 from 6 to get a remainder of 1. 2. Bring down the next digit, which is 6, making it 16. Now, see how many times 5 fits into 16. It goes 3 times (since 5 x 3 = 15). Place 3 in the quotient. Subtract 15 from 16 to get a remainder of 1. 3. Next, bring down the last digit, which is 1, making the number 11. Now, see how many times 5 fits into 11. It goes 2 times (since 5 x 2 = 10). Place 2 in the quotient. Subtract 10 from 11 to get a remainder of 1. Putting this together, the full quotient obtained through long division is 132, and the remainder after dividing 661 by 5 is