High School

We appreciate your visit to What is the quotient of the following division problem tex 1564 div 234 tex A 8 r 160 B 6 r 159 C 5 r. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

What is the quotient of the following division problem?

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

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

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].

Thanks for taking the time to read What is the quotient of the following division problem tex 1564 div 234 tex A 8 r 160 B 6 r 159 C 5 r. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada