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\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)902}\\\end{array}
Use the 1^{st} digit 9 from dividend 902
\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)902}\\\end{array}
Since 9 is less than 11, use the next digit 0 from dividend 902 and add 0 to the quotient
\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)902}\\\end{array}
Use the 2^{nd} digit 0 from dividend 902
\begin{array}{l}\phantom{11)}08\phantom{4}\\11\overline{)902}\\\phantom{11)}\underline{\phantom{}88\phantom{9}}\\\phantom{11)9}2\\\end{array}
Find closest multiple of 11 to 90. We see that 8 \times 11 = 88 is the nearest. Now subtract 88 from 90 to get reminder 2. Add 8 to quotient.
\begin{array}{l}\phantom{11)}08\phantom{5}\\11\overline{)902}\\\phantom{11)}\underline{\phantom{}88\phantom{9}}\\\phantom{11)9}22\\\end{array}
Use the 3^{rd} digit 2 from dividend 902
\begin{array}{l}\phantom{11)}082\phantom{6}\\11\overline{)902}\\\phantom{11)}\underline{\phantom{}88\phantom{9}}\\\phantom{11)9}22\\\phantom{11)}\underline{\phantom{9}22\phantom{}}\\\phantom{11)999}0\\\end{array}
Find closest multiple of 11 to 22. We see that 2 \times 11 = 22 is the nearest. Now subtract 22 from 22 to get reminder 0. Add 2 to quotient.
\text{Quotient: }82 \text{Reminder: }0
Since 0 is less than 11, stop the division. The reminder is 0. The topmost line 082 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 82.