High School

What is the quotient of this division problem?

[tex]$2218 \div 14 =?$[/tex]

A. 158 r 8
B. 157 r 20
C. 157 r 7
D. 158 r 6

Answer :

To find the quotient and remainder when dividing 2218 by 14, you can follow these steps:

1. Determine how many times 14 fits into 2218 completely.
- Start with the highest place value. Check how many times 14 fits into 22 (the first two digits of 2218).
- 14 fits into 22 one time, as 14 x 1 = 14. Subtract this from 22 to get a remainder of 8.

2. Bring down the next digit.
- Bring down the next digit (1) from 2218 to the remainder (8) to get 81.
- Now, see how many times 14 fits into 81.

3. Continue dividing.
- 14 fits into 81 five times because 14 x 5 = 70. Subtract 70 from 81 to get a remainder of 11.

4. Bring down the last digit.
- Bring down the final digit (8) from 2218 to combine with the remainder (11), getting 118.
- See how many times 14 fits into 118.

5. Finish the division.
- 14 fits into 118 eight times because 14 x 8 = 112. Subtract 112 from 118 to get a remainder of 6.

Therefore, the quotient of 2218 divided by 14 is 158, with a remainder of 6. The correct answer is:
- D. 158 r 6