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\begin{array}{l}\phantom{99)}\phantom{1}\\99\overline{)888}\\\end{array}
Use the 1^{st} digit 8 from dividend 888
\begin{array}{l}\phantom{99)}0\phantom{2}\\99\overline{)888}\\\end{array}
Since 8 is less than 99, use the next digit 8 from dividend 888 and add 0 to the quotient
\begin{array}{l}\phantom{99)}0\phantom{3}\\99\overline{)888}\\\end{array}
Use the 2^{nd} digit 8 from dividend 888
\begin{array}{l}\phantom{99)}00\phantom{4}\\99\overline{)888}\\\end{array}
Since 88 is less than 99, use the next digit 8 from dividend 888 and add 0 to the quotient
\begin{array}{l}\phantom{99)}00\phantom{5}\\99\overline{)888}\\\end{array}
Use the 3^{rd} digit 8 from dividend 888
\begin{array}{l}\phantom{99)}008\phantom{6}\\99\overline{)888}\\\phantom{99)}\underline{\phantom{}792\phantom{}}\\\phantom{99)9}96\\\end{array}
Find closest multiple of 99 to 888. We see that 8 \times 99 = 792 is the nearest. Now subtract 792 from 888 to get reminder 96. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }96
Since 96 is less than 99, stop the division. The reminder is 96. The topmost line 008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.