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\begin{array}{l}\phantom{80)}\phantom{1}\\80\overline{)90}\\\end{array}
Use the 1^{st} digit 9 from dividend 90
\begin{array}{l}\phantom{80)}0\phantom{2}\\80\overline{)90}\\\end{array}
Since 9 is less than 80, use the next digit 0 from dividend 90 and add 0 to the quotient
\begin{array}{l}\phantom{80)}0\phantom{3}\\80\overline{)90}\\\end{array}
Use the 2^{nd} digit 0 from dividend 90
\begin{array}{l}\phantom{80)}01\phantom{4}\\80\overline{)90}\\\phantom{80)}\underline{\phantom{}80\phantom{}}\\\phantom{80)}10\\\end{array}
Find closest multiple of 80 to 90. We see that 1 \times 80 = 80 is the nearest. Now subtract 80 from 90 to get reminder 10. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }10
Since 10 is less than 80, stop the division. The reminder is 10. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.