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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)7100}\\\end{array}
Use the 1^{st} digit 7 from dividend 7100
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)7100}\\\end{array}
Since 7 is less than 100, use the next digit 1 from dividend 7100 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)7100}\\\end{array}
Use the 2^{nd} digit 1 from dividend 7100
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)7100}\\\end{array}
Since 71 is less than 100, use the next digit 0 from dividend 7100 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)7100}\\\end{array}
Use the 3^{rd} digit 0 from dividend 7100
\begin{array}{l}\phantom{100)}007\phantom{6}\\100\overline{)7100}\\\phantom{100)}\underline{\phantom{}700\phantom{9}}\\\phantom{100)9}10\\\end{array}
Find closest multiple of 100 to 710. We see that 7 \times 100 = 700 is the nearest. Now subtract 700 from 710 to get reminder 10. Add 7 to quotient.
\begin{array}{l}\phantom{100)}007\phantom{7}\\100\overline{)7100}\\\phantom{100)}\underline{\phantom{}700\phantom{9}}\\\phantom{100)9}100\\\end{array}
Use the 4^{th} digit 0 from dividend 7100
\begin{array}{l}\phantom{100)}0071\phantom{8}\\100\overline{)7100}\\\phantom{100)}\underline{\phantom{}700\phantom{9}}\\\phantom{100)9}100\\\phantom{100)}\underline{\phantom{9}100\phantom{}}\\\phantom{100)9999}0\\\end{array}
Find closest multiple of 100 to 100. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 100 to get reminder 0. Add 1 to quotient.
\text{Quotient: }71 \text{Reminder: }0
Since 0 is less than 100, stop the division. The reminder is 0. The topmost line 0071 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 71.