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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)636}\\\end{array}
Use the 1^{st} digit 6 from dividend 636
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)636}\\\end{array}
Since 6 is less than 100, use the next digit 3 from dividend 636 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)636}\\\end{array}
Use the 2^{nd} digit 3 from dividend 636
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)636}\\\end{array}
Since 63 is less than 100, use the next digit 6 from dividend 636 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)636}\\\end{array}
Use the 3^{rd} digit 6 from dividend 636
\begin{array}{l}\phantom{100)}006\phantom{6}\\100\overline{)636}\\\phantom{100)}\underline{\phantom{}600\phantom{}}\\\phantom{100)9}36\\\end{array}
Find closest multiple of 100 to 636. We see that 6 \times 100 = 600 is the nearest. Now subtract 600 from 636 to get reminder 36. Add 6 to quotient.
\text{Quotient: }6 \text{Reminder: }36
Since 36 is less than 100, stop the division. The reminder is 36. The topmost line 006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.