Use long division to divide. 691 ÷ 9

Use long division to divide. 691 ÷ 9

The Correct Answer and Explanation is:

To solve ( 691 \div 9 ) using long division, follow these steps:

Step 1: Setup the long division

We set up the long division by placing 691 inside the division box (the dividend), and 9 outside the box (the divisor):

[
\begin{array}{r|l}
9 & 691 \
\end{array}
]

Step 2: Divide the first digit

We begin by dividing the first digit of the dividend, which is 6, by 9. Since 9 does not go into 6 (6 ÷ 9 = 0), we move to the next two digits, which are 69.

Step 3: Divide 69 by 9

Now, divide 69 by 9. The closest multiple of 9 that is less than or equal to 69 is 9 × 7 = 63. So, we write 7 above the 9 in the quotient.

[
\begin{array}{r|l}
9 & 691 \
& -63 \
\hline
& 6 \
\end{array}
]

After subtracting 63 from 69, we are left with 6.

Step 4: Bring down the next digit

Next, bring down the last digit of the dividend, which is 1. Now, we are dividing 61 by 9.

Step 5: Divide 61 by 9

Now, divide 61 by 9. The closest multiple of 9 that is less than or equal to 61 is 9 × 6 = 54. So, we write 6 above the 1 in the quotient.

[
\begin{array}{r|l}
9 & 691 \
& -63 \
& -54 \
\hline
& 7 \
\end{array}
]

After subtracting 54 from 61, we are left with 7.

Step 6: Conclusion

At this point, there are no more digits to bring down, and we are left with a remainder of 7. Therefore, the result of ( 691 \div 9 ) is:

[
\text{Quotient} = 76 \quad \text{with a remainder of} \quad 7
]

So, ( 691 \div 9 = 76 \text{ R}7 ), or ( 76 \frac{7}{9} ) if written as a mixed number.