Question

the remaining 8 hundredths have been unbundled for 80 thousandths. divide 80 thousandths by 11. then, multiply to show how many thousandths you shared. finally, subtract to show how many thousandths you have left over.
\\(\dfrac{8}{11}\\)
\\(\

$$\begin{array}{r}0.72\\square\\\\11\\overline{)8.000}\\\\-7.7\\downarrow\\quad\\\\\\hline.30\\quad\\\\-.22\\downarrow\\\\\\hline.080\\\\-.\\square\\square\\square\\\\\\hline.\\square\\square\\square\\end{array}$$

\\)

Explanation:

Step1: Divide 80 thousandths by 11

$\frac{80}{11} \approx 7$, so the digit in the box is 7.

Step2: Multiply 7 by 11 thousandths

$7 \times 0.011 = 0.077$

Step3: Subtract from 0.080

$0.080 - 0.077 = 0.003$

Answer:

The digit in the top box is 7. The first empty bottom box is $0.077$, and the final remaining value is $0.003$.
Long division completion:

$$\begin{array}{r} 0.727 \\ 11\enclose{longdiv}{8.000} \\ \underline{-7.7}\phantom{00} \\ 0.30\phantom{0} \\ \underline{-0.22}\phantom{0} \\ 0.080 \\ \underline{-0.077} \\ 0.003 \end{array}$$