Answer :
To find the quotient of the division problem [tex]\(1564 \div 234\)[/tex], follow these steps:
1. Divide: Start by dividing 1564 by 234 to get the whole number part of the quotient.
2. Calculate the Quotient: Determine how many times 234 fits into 1564 without exceeding it. When you do this division, 234 goes into 1564 a total of 6 times.
3. Multiply: Multiply the divisor (234) by the quotient (6) to find out how much of 1564 is covered by these 6 groups of 234.
[tex]\[
234 \times 6 = 1404
\][/tex]
4. Subtract: Subtract this product from the original dividend (1564) to find the remainder.
[tex]\[
1564 - 1404 = 160
\][/tex]
So, the quotient of the division is 6 with a remainder of 160.
Therefore, the answer is D. [tex]\(6 \, \text{r} \, 160\)[/tex].
1. Divide: Start by dividing 1564 by 234 to get the whole number part of the quotient.
2. Calculate the Quotient: Determine how many times 234 fits into 1564 without exceeding it. When you do this division, 234 goes into 1564 a total of 6 times.
3. Multiply: Multiply the divisor (234) by the quotient (6) to find out how much of 1564 is covered by these 6 groups of 234.
[tex]\[
234 \times 6 = 1404
\][/tex]
4. Subtract: Subtract this product from the original dividend (1564) to find the remainder.
[tex]\[
1564 - 1404 = 160
\][/tex]
So, the quotient of the division is 6 with a remainder of 160.
Therefore, the answer is D. [tex]\(6 \, \text{r} \, 160\)[/tex].
