High School

What is the quotient of the following division problem?

[tex]1564 \div 234 = \text{ ? }[/tex]

A. 5 r 159
B. 6 r 159
C. 6 r 160
D. 8 r 160

Answer :

To find the quotient of the division problem [tex]\(1564 \div 234\)[/tex], follow these steps:

1. Divide the numbers: First, perform the division to find out how many times 234 can fit into 1564.

2. Calculate the quotient: When you divide 1564 by 234, you find that 234 goes into 1564 exactly 6 times because [tex]\(234 \times 6 = 1404\)[/tex].

3. Find the remainder: Subtract the product found in the previous step from 1564. So, [tex]\(1564 - 1404 = 160\)[/tex].

4. Write the answer as quotient and remainder: The quotient is 6 with a remainder of 160.

Therefore, the answer to the division problem is 6 remainder 160, which corresponds to option C.