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\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)88}\\\end{array}
Use the 1^{st} digit 8 from dividend 88
\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)88}\\\end{array}
Since 8 is less than 10, use the next digit 8 from dividend 88 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)88}\\\end{array}
Use the 2^{nd} digit 8 from dividend 88
\begin{array}{l}\phantom{10)}08\phantom{4}\\10\overline{)88}\\\phantom{10)}\underline{\phantom{}80\phantom{}}\\\phantom{10)9}8\\\end{array}
Find closest multiple of 10 to 88. We see that 8 \times 10 = 80 is the nearest. Now subtract 80 from 88 to get reminder 8. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }8
Since 8 is less than 10, stop the division. The reminder is 8. The topmost line 08 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.