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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)1564}\\\end{array}
Use the 1^{st} digit 1 from dividend 1564
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)1564}\\\end{array}
Since 1 is less than 100, use the next digit 5 from dividend 1564 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)1564}\\\end{array}
Use the 2^{nd} digit 5 from dividend 1564
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)1564}\\\end{array}
Since 15 is less than 100, use the next digit 6 from dividend 1564 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)1564}\\\end{array}
Use the 3^{rd} digit 6 from dividend 1564
\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)1564}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}56\\\end{array}
Find closest multiple of 100 to 156. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 156 to get reminder 56. Add 1 to quotient.
\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)1564}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}564\\\end{array}
Use the 4^{th} digit 4 from dividend 1564
\begin{array}{l}\phantom{100)}0015\phantom{8}\\100\overline{)1564}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}564\\\phantom{100)}\underline{\phantom{9}500\phantom{}}\\\phantom{100)99}64\\\end{array}
Find closest multiple of 100 to 564. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 564 to get reminder 64. Add 5 to quotient.
\text{Quotient: }15 \text{Reminder: }64
Since 64 is less than 100, stop the division. The reminder is 64. The topmost line 0015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.