College

What is the quotient of the following division problem?

[tex]7069 \div 328 = ?[/tex]

A. 21 r 180
B. 23 r 181
C. 20 r 180
D. 21 r 181

Answer :

To find the quotient of the division problem [tex]\( 7069 \div 328 \)[/tex], you can approach it step-by-step using traditional long division:

1. Divide: First, see how many times 328 fits into the first part of 7069. 328 fits into 706 exactly 2 times because [tex]\( 328 \times 2 = 656 \)[/tex].

2. Subtract: Subtract 656 from 706 to find the remainder. This gives [tex]\( 706 - 656 = 50 \)[/tex].

3. Bring down the next digit: Bring down the next digit (9) from 7069 to get 509.

4. Repeat the division: Now, determine how many times 328 fits into 509. 328 fits into 509 1 time because [tex]\( 328 \times 1 = 328 \)[/tex].

5. Subtract: Subtract 328 from 509 to find the remainder. This gives [tex]\( 509 - 328 = 181 \)[/tex].

Putting it all together, the quotient is 21 with a remainder of 181. Therefore, the answer is:

D. 21 r 181