College

Find the quotient of [tex]970[/tex] divided by [tex]8[/tex].

A. 121 R 2
B. 121 R 6
C. 122 R 2
D. 122 R 6

Answer :

Sure! Let's find the quotient and remainder when dividing 970 by 8.

1. Set up the division problem: We're dividing 970 by 8.

2. Divide the first two digits: Look at the first two digits of 970, which are 97. How many times does 8 go into 97?

- 8 goes into 97 a total of 12 times because 8 x 12 = 96, which is the closest multiple of 8 less than or equal to 97.

3. Subtract to find the remainder: Subtract 96 from 97 to find the remainder, which is 1.

4. Bring down the next digit: Bring down the next digit from 970, which is the 0, to make it 10.

5. Divide again: Now, divide 10 by 8.

- 8 goes into 10 one time because 8 x 1 = 8.

6. Subtract to find this remainder: Subtract 8 from 10 to find the remainder, which is 2.

7. Combine the quotient: The full quotient of the division is 121, and the remainder is 2.

Therefore, when 970 is divided by 8, the quotient is 121 with a remainder of 2. So, the answer is 121 R 2.