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\begin{array}{l}\phantom{63)}\phantom{1}\\63\overline{)6237}\\\end{array}
Use the 1^{st} digit 6 from dividend 6237
\begin{array}{l}\phantom{63)}0\phantom{2}\\63\overline{)6237}\\\end{array}
Since 6 is less than 63, use the next digit 2 from dividend 6237 and add 0 to the quotient
\begin{array}{l}\phantom{63)}0\phantom{3}\\63\overline{)6237}\\\end{array}
Use the 2^{nd} digit 2 from dividend 6237
\begin{array}{l}\phantom{63)}00\phantom{4}\\63\overline{)6237}\\\end{array}
Since 62 is less than 63, use the next digit 3 from dividend 6237 and add 0 to the quotient
\begin{array}{l}\phantom{63)}00\phantom{5}\\63\overline{)6237}\\\end{array}
Use the 3^{rd} digit 3 from dividend 6237
\begin{array}{l}\phantom{63)}009\phantom{6}\\63\overline{)6237}\\\phantom{63)}\underline{\phantom{}567\phantom{9}}\\\phantom{63)9}56\\\end{array}
Find closest multiple of 63 to 623. We see that 9 \times 63 = 567 is the nearest. Now subtract 567 from 623 to get reminder 56. Add 9 to quotient.
\begin{array}{l}\phantom{63)}009\phantom{7}\\63\overline{)6237}\\\phantom{63)}\underline{\phantom{}567\phantom{9}}\\\phantom{63)9}567\\\end{array}
Use the 4^{th} digit 7 from dividend 6237
\begin{array}{l}\phantom{63)}0099\phantom{8}\\63\overline{)6237}\\\phantom{63)}\underline{\phantom{}567\phantom{9}}\\\phantom{63)9}567\\\phantom{63)}\underline{\phantom{9}567\phantom{}}\\\phantom{63)9999}0\\\end{array}
Find closest multiple of 63 to 567. We see that 9 \times 63 = 567 is the nearest. Now subtract 567 from 567 to get reminder 0. Add 9 to quotient.
\text{Quotient: }99 \text{Reminder: }0
Since 0 is less than 63, stop the division. The reminder is 0. The topmost line 0099 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 99.