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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)1300}\\\end{array}
Use the 1^{st} digit 1 from dividend 1300
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)1300}\\\end{array}
Since 1 is less than 100, use the next digit 3 from dividend 1300 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)1300}\\\end{array}
Use the 2^{nd} digit 3 from dividend 1300
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)1300}\\\end{array}
Since 13 is less than 100, use the next digit 0 from dividend 1300 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)1300}\\\end{array}
Use the 3^{rd} digit 0 from dividend 1300
\begin{array}{l}\phantom{100)}001\phantom{6}\\100\overline{)1300}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}30\\\end{array}
Find closest multiple of 100 to 130. We see that 1 \times 100 = 100 is the nearest. Now subtract 100 from 130 to get reminder 30. Add 1 to quotient.
\begin{array}{l}\phantom{100)}001\phantom{7}\\100\overline{)1300}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}300\\\end{array}
Use the 4^{th} digit 0 from dividend 1300
\begin{array}{l}\phantom{100)}0013\phantom{8}\\100\overline{)1300}\\\phantom{100)}\underline{\phantom{}100\phantom{9}}\\\phantom{100)9}300\\\phantom{100)}\underline{\phantom{9}300\phantom{}}\\\phantom{100)9999}0\\\end{array}
Find closest multiple of 100 to 300. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 300 to get reminder 0. Add 3 to quotient.
\text{Quotient: }13 \text{Reminder: }0
Since 0 is less than 100, stop the division. The reminder is 0. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.