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What is the quotient of the following division problem?

[tex]\[ 1564 \div 234 = ? \][/tex]

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

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

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