Answer :
To find the quotient and remainder of the division problem [tex]\(1564 \div 234\)[/tex], follow these steps:
1. Divide the numbers: Begin by dividing the dividend, 1564, by the divisor, 234. Determine how many whole times the divisor can fit into the dividend.
2. Calculate the quotient: By dividing 1564 by 234, you find that the quotient is 6. This means that 234 can fit into 1564 a total of 6 whole times.
3. Calculate the remainder: Next, multiply the quotient (6) by the divisor (234):
[tex]\[
6 \times 234 = 1404
\][/tex]
Subtract this result from the original dividend:
[tex]\[
1564 - 1404 = 160
\][/tex]
Thus, the remainder is 160.
So, the quotient of [tex]\(1564 \div 234\)[/tex] is 6 with a remainder of 160. Therefore, the correct answer is:
D. 6 r 160
1. Divide the numbers: Begin by dividing the dividend, 1564, by the divisor, 234. Determine how many whole times the divisor can fit into the dividend.
2. Calculate the quotient: By dividing 1564 by 234, you find that the quotient is 6. This means that 234 can fit into 1564 a total of 6 whole times.
3. Calculate the remainder: Next, multiply the quotient (6) by the divisor (234):
[tex]\[
6 \times 234 = 1404
\][/tex]
Subtract this result from the original dividend:
[tex]\[
1564 - 1404 = 160
\][/tex]
Thus, the remainder is 160.
So, the quotient of [tex]\(1564 \div 234\)[/tex] is 6 with a remainder of 160. Therefore, the correct answer is:
D. 6 r 160
