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\begin{array}{l}\phantom{90)}\phantom{1}\\90\overline{)9183}\\\end{array}
Use the 1^{st} digit 9 from dividend 9183
\begin{array}{l}\phantom{90)}0\phantom{2}\\90\overline{)9183}\\\end{array}
Since 9 is less than 90, use the next digit 1 from dividend 9183 and add 0 to the quotient
\begin{array}{l}\phantom{90)}0\phantom{3}\\90\overline{)9183}\\\end{array}
Use the 2^{nd} digit 1 from dividend 9183
\begin{array}{l}\phantom{90)}01\phantom{4}\\90\overline{)9183}\\\phantom{90)}\underline{\phantom{}90\phantom{99}}\\\phantom{90)9}1\\\end{array}
Find closest multiple of 90 to 91. We see that 1 \times 90 = 90 is the nearest. Now subtract 90 from 91 to get reminder 1. Add 1 to quotient.
\begin{array}{l}\phantom{90)}01\phantom{5}\\90\overline{)9183}\\\phantom{90)}\underline{\phantom{}90\phantom{99}}\\\phantom{90)9}18\\\end{array}
Use the 3^{rd} digit 8 from dividend 9183
\begin{array}{l}\phantom{90)}010\phantom{6}\\90\overline{)9183}\\\phantom{90)}\underline{\phantom{}90\phantom{99}}\\\phantom{90)9}18\\\end{array}
Since 18 is less than 90, use the next digit 3 from dividend 9183 and add 0 to the quotient
\begin{array}{l}\phantom{90)}010\phantom{7}\\90\overline{)9183}\\\phantom{90)}\underline{\phantom{}90\phantom{99}}\\\phantom{90)9}183\\\end{array}
Use the 4^{th} digit 3 from dividend 9183
\begin{array}{l}\phantom{90)}0102\phantom{8}\\90\overline{)9183}\\\phantom{90)}\underline{\phantom{}90\phantom{99}}\\\phantom{90)9}183\\\phantom{90)}\underline{\phantom{9}180\phantom{}}\\\phantom{90)999}3\\\end{array}
Find closest multiple of 90 to 183. We see that 2 \times 90 = 180 is the nearest. Now subtract 180 from 183 to get reminder 3. Add 2 to quotient.
\text{Quotient: }102 \text{Reminder: }3
Since 3 is less than 90, stop the division. The reminder is 3. The topmost line 0102 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 102.