Answer :
To find the quotient and remainder of the division problem [tex]\(1564 \div 234\)[/tex], we can follow these steps:
1. Divide 1564 by 234: Start by determining how many times 234 can fit into 1564. By estimating and calculating, you find that 234 fits into 1564 a total of 6 whole times.
2. Multiply to Check: Multiply the quotient you found (which is 6) by the divisor (234). This gives:
[tex]\[
6 \times 234 = 1404
\][/tex]
3. Subtract: Subtract the result from the original dividend to find the remainder:
[tex]\[
1564 - 1404 = 160
\][/tex]
4. Result: So, [tex]\(1564 \div 234\)[/tex] gives a quotient of 6 with a remainder of 160.
Based on these calculations, the correct answer is:
D. 6 r 160
1. Divide 1564 by 234: Start by determining how many times 234 can fit into 1564. By estimating and calculating, you find that 234 fits into 1564 a total of 6 whole times.
2. Multiply to Check: Multiply the quotient you found (which is 6) by the divisor (234). This gives:
[tex]\[
6 \times 234 = 1404
\][/tex]
3. Subtract: Subtract the result from the original dividend to find the remainder:
[tex]\[
1564 - 1404 = 160
\][/tex]
4. Result: So, [tex]\(1564 \div 234\)[/tex] gives a quotient of 6 with a remainder of 160.
Based on these calculations, the correct answer is:
D. 6 r 160
