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\begin{array}{l}\phantom{71)}\phantom{1}\\71\overline{)8000}\\\end{array}
Use the 1^{st} digit 8 from dividend 8000
\begin{array}{l}\phantom{71)}0\phantom{2}\\71\overline{)8000}\\\end{array}
Since 8 is less than 71, use the next digit 0 from dividend 8000 and add 0 to the quotient
\begin{array}{l}\phantom{71)}0\phantom{3}\\71\overline{)8000}\\\end{array}
Use the 2^{nd} digit 0 from dividend 8000
\begin{array}{l}\phantom{71)}01\phantom{4}\\71\overline{)8000}\\\phantom{71)}\underline{\phantom{}71\phantom{99}}\\\phantom{71)9}9\\\end{array}
Find closest multiple of 71 to 80. We see that 1 \times 71 = 71 is the nearest. Now subtract 71 from 80 to get reminder 9. Add 1 to quotient.
\begin{array}{l}\phantom{71)}01\phantom{5}\\71\overline{)8000}\\\phantom{71)}\underline{\phantom{}71\phantom{99}}\\\phantom{71)9}90\\\end{array}
Use the 3^{rd} digit 0 from dividend 8000
\begin{array}{l}\phantom{71)}011\phantom{6}\\71\overline{)8000}\\\phantom{71)}\underline{\phantom{}71\phantom{99}}\\\phantom{71)9}90\\\phantom{71)}\underline{\phantom{9}71\phantom{9}}\\\phantom{71)9}19\\\end{array}
Find closest multiple of 71 to 90. We see that 1 \times 71 = 71 is the nearest. Now subtract 71 from 90 to get reminder 19. Add 1 to quotient.
\begin{array}{l}\phantom{71)}011\phantom{7}\\71\overline{)8000}\\\phantom{71)}\underline{\phantom{}71\phantom{99}}\\\phantom{71)9}90\\\phantom{71)}\underline{\phantom{9}71\phantom{9}}\\\phantom{71)9}190\\\end{array}
Use the 4^{th} digit 0 from dividend 8000
\begin{array}{l}\phantom{71)}0112\phantom{8}\\71\overline{)8000}\\\phantom{71)}\underline{\phantom{}71\phantom{99}}\\\phantom{71)9}90\\\phantom{71)}\underline{\phantom{9}71\phantom{9}}\\\phantom{71)9}190\\\phantom{71)}\underline{\phantom{9}142\phantom{}}\\\phantom{71)99}48\\\end{array}
Find closest multiple of 71 to 190. We see that 2 \times 71 = 142 is the nearest. Now subtract 142 from 190 to get reminder 48. Add 2 to quotient.
\text{Quotient: }112 \text{Reminder: }48
Since 48 is less than 71, stop the division. The reminder is 48. The topmost line 0112 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 112.