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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)587}\\\end{array}
Use the 1^{st} digit 5 from dividend 587
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)587}\\\end{array}
Since 5 is less than 100, use the next digit 8 from dividend 587 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)587}\\\end{array}
Use the 2^{nd} digit 8 from dividend 587
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)587}\\\end{array}
Since 58 is less than 100, use the next digit 7 from dividend 587 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)587}\\\end{array}
Use the 3^{rd} digit 7 from dividend 587
\begin{array}{l}\phantom{100)}005\phantom{6}\\100\overline{)587}\\\phantom{100)}\underline{\phantom{}500\phantom{}}\\\phantom{100)9}87\\\end{array}
Find closest multiple of 100 to 587. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 587 to get reminder 87. Add 5 to quotient.
\text{Quotient: }5 \text{Reminder: }87
Since 87 is less than 100, stop the division. The reminder is 87. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.