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\begin{array}{l}\phantom{55)}\phantom{1}\\55\overline{)135}\\\end{array}
Use the 1^{st} digit 1 from dividend 135
\begin{array}{l}\phantom{55)}0\phantom{2}\\55\overline{)135}\\\end{array}
Since 1 is less than 55, use the next digit 3 from dividend 135 and add 0 to the quotient
\begin{array}{l}\phantom{55)}0\phantom{3}\\55\overline{)135}\\\end{array}
Use the 2^{nd} digit 3 from dividend 135
\begin{array}{l}\phantom{55)}00\phantom{4}\\55\overline{)135}\\\end{array}
Since 13 is less than 55, use the next digit 5 from dividend 135 and add 0 to the quotient
\begin{array}{l}\phantom{55)}00\phantom{5}\\55\overline{)135}\\\end{array}
Use the 3^{rd} digit 5 from dividend 135
\begin{array}{l}\phantom{55)}002\phantom{6}\\55\overline{)135}\\\phantom{55)}\underline{\phantom{}110\phantom{}}\\\phantom{55)9}25\\\end{array}
Find closest multiple of 55 to 135. We see that 2 \times 55 = 110 is the nearest. Now subtract 110 from 135 to get reminder 25. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }25
Since 25 is less than 55, stop the division. The reminder is 25. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.