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\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)115}\\\end{array}
Use the 1^{st} digit 1 from dividend 115
\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)115}\\\end{array}
Since 1 is less than 13, use the next digit 1 from dividend 115 and add 0 to the quotient
\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)115}\\\end{array}
Use the 2^{nd} digit 1 from dividend 115
\begin{array}{l}\phantom{13)}00\phantom{4}\\13\overline{)115}\\\end{array}
Since 11 is less than 13, use the next digit 5 from dividend 115 and add 0 to the quotient
\begin{array}{l}\phantom{13)}00\phantom{5}\\13\overline{)115}\\\end{array}
Use the 3^{rd} digit 5 from dividend 115
\begin{array}{l}\phantom{13)}008\phantom{6}\\13\overline{)115}\\\phantom{13)}\underline{\phantom{}104\phantom{}}\\\phantom{13)9}11\\\end{array}
Find closest multiple of 13 to 115. We see that 8 \times 13 = 104 is the nearest. Now subtract 104 from 115 to get reminder 11. Add 8 to quotient.
\text{Quotient: }8 \text{Reminder: }11
Since 11 is less than 13, stop the division. The reminder is 11. The topmost line 008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.