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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)8745}\\\end{array}
Use the 1^{st} digit 8 from dividend 8745
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)8745}\\\end{array}
Since 8 is less than 15, use the next digit 7 from dividend 8745 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)8745}\\\end{array}
Use the 2^{nd} digit 7 from dividend 8745
\begin{array}{l}\phantom{15)}05\phantom{4}\\15\overline{)8745}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)}12\\\end{array}
Find closest multiple of 15 to 87. We see that 5 \times 15 = 75 is the nearest. Now subtract 75 from 87 to get reminder 12. Add 5 to quotient.
\begin{array}{l}\phantom{15)}05\phantom{5}\\15\overline{)8745}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)}124\\\end{array}
Use the 3^{rd} digit 4 from dividend 8745
\begin{array}{l}\phantom{15)}058\phantom{6}\\15\overline{)8745}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)}124\\\phantom{15)}\underline{\phantom{}120\phantom{9}}\\\phantom{15)99}4\\\end{array}
Find closest multiple of 15 to 124. We see that 8 \times 15 = 120 is the nearest. Now subtract 120 from 124 to get reminder 4. Add 8 to quotient.
\begin{array}{l}\phantom{15)}058\phantom{7}\\15\overline{)8745}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)}124\\\phantom{15)}\underline{\phantom{}120\phantom{9}}\\\phantom{15)99}45\\\end{array}
Use the 4^{th} digit 5 from dividend 8745
\begin{array}{l}\phantom{15)}0583\phantom{8}\\15\overline{)8745}\\\phantom{15)}\underline{\phantom{}75\phantom{99}}\\\phantom{15)}124\\\phantom{15)}\underline{\phantom{}120\phantom{9}}\\\phantom{15)99}45\\\phantom{15)}\underline{\phantom{99}45\phantom{}}\\\phantom{15)9999}0\\\end{array}
Find closest multiple of 15 to 45. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 45 to get reminder 0. Add 3 to quotient.
\text{Quotient: }583 \text{Reminder: }0
Since 0 is less than 15, stop the division. The reminder is 0. The topmost line 0583 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 583.