Question

the remaining 3 tenths have been unbundled for 30 hundredths. divide 30 hundredths by 11. then, multiply to show how many hundredths you shared. finally, subtract to show how many hundredths you have left over.
\\(\

$$\begin{array}{r}0.7\\square\\\\11\\enclose{longdiv}{8.00}\\\\-7.7\\downarrow\\\\\\hline.30\\\\-\\square\\square\\\\-\\square\\square\\\\\\end{array}$$

\\) \\(\frac{8}{11}\\)

Explanation:

Step1: Divide 30 hundredths by 11

$\frac{30}{100} \div 11 = \frac{30}{1100} = \frac{2}{100} + \frac{8}{1100}$, so the quotient digit is 2 (hundredths place).

Step2: Multiply 11 by 2 hundredths

$11 \times \frac{2}{100} = \frac{22}{100}$

Step3: Subtract to find leftover hundredths

$\frac{30}{100} - \frac{22}{100} = \frac{8}{100}$

Answer:

The top box is 2, the middle boxed pair is 0.22, and the bottom boxed pair is 0.08. The completed division shows $\frac{8}{11} \approx 0.72$ with a remainder of 0.08.