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divide the following by using short division. use multiplication to che…

Question

divide the following by using short division. use multiplication to check the answer. $overline{7)6936}$
select the correct choice below and fill in the answer boxes to complete your choice
a. the quotient is $\boldsymbol{square}$ r $\boldsymbol{square}$
b. the quotient is $\boldsymbol{square}$ with no remainder

Explanation:

Step1: Perform short division

Divide 9936 by 7:

  • 7 goes into 9 once, remainder 2. Write 1, carry over 2.
  • 7 goes into 29 four times, remainder 1. Write 4, carry over 1.
  • 7 goes into 13 once, remainder 6. Write 1, carry over 6.
  • 7 goes into 66 nine times, remainder 3. Write 9, remainder 3.

So, $9936 \div 7 = 1419$ with remainder 3.

Step2: Verify with multiplication

Calculate $7 \times 1419 + 3$:
$7 \times 1419 = 9933$, then $9933 + 3 = 9936$, which matches the dividend.

Answer:

A. The quotient is 1419 R 3