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\begin{array}{l}\phantom{121)}\phantom{1}\\121\overline{)363}\\\end{array}
Use the 1^{st} digit 3 from dividend 363
\begin{array}{l}\phantom{121)}0\phantom{2}\\121\overline{)363}\\\end{array}
Since 3 is less than 121, use the next digit 6 from dividend 363 and add 0 to the quotient
\begin{array}{l}\phantom{121)}0\phantom{3}\\121\overline{)363}\\\end{array}
Use the 2^{nd} digit 6 from dividend 363
\begin{array}{l}\phantom{121)}00\phantom{4}\\121\overline{)363}\\\end{array}
Since 36 is less than 121, use the next digit 3 from dividend 363 and add 0 to the quotient
\begin{array}{l}\phantom{121)}00\phantom{5}\\121\overline{)363}\\\end{array}
Use the 3^{rd} digit 3 from dividend 363
\begin{array}{l}\phantom{121)}003\phantom{6}\\121\overline{)363}\\\phantom{121)}\underline{\phantom{}363\phantom{}}\\\phantom{121)999}0\\\end{array}
Find closest multiple of 121 to 363. We see that 3 \times 121 = 363 is the nearest. Now subtract 363 from 363 to get reminder 0. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }0
Since 0 is less than 121, stop the division. The reminder is 0. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.