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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)863}\\\end{array}
Use the 1^{st} digit 8 from dividend 863
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)863}\\\end{array}
Since 8 is less than 100, use the next digit 6 from dividend 863 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)863}\\\end{array}
Use the 2^{nd} digit 6 from dividend 863
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)863}\\\end{array}
Since 86 is less than 100, use the next digit 3 from dividend 863 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)863}\\\end{array}
Use the 3^{rd} digit 3 from dividend 863
\begin{array}{l}\phantom{100)}008\phantom{6}\\100\overline{)863}\\\phantom{100)}\underline{\phantom{}800\phantom{}}\\\phantom{100)9}63\\\end{array}
Find closest multiple of 100 to 863. We see that 8 \times 100 = 800 is the nearest. Now subtract 800 from 863 to get reminder 63. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }63
Since 63 is less than 100, stop the division. The reminder is 63. The topmost line 008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.