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\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)845}\\\end{array}
Use the 1^{st} digit 8 from dividend 845
\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)845}\\\end{array}
Since 8 is less than 13, use the next digit 4 from dividend 845 and add 0 to the quotient
\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)845}\\\end{array}
Use the 2^{nd} digit 4 from dividend 845
\begin{array}{l}\phantom{13)}06\phantom{4}\\13\overline{)845}\\\phantom{13)}\underline{\phantom{}78\phantom{9}}\\\phantom{13)9}6\\\end{array}
Find closest multiple of 13 to 84. We see that 6 \times 13 = 78 is the nearest. Now subtract 78 from 84 to get reminder 6. Add 6 to quotient.
\begin{array}{l}\phantom{13)}06\phantom{5}\\13\overline{)845}\\\phantom{13)}\underline{\phantom{}78\phantom{9}}\\\phantom{13)9}65\\\end{array}
Use the 3^{rd} digit 5 from dividend 845
\begin{array}{l}\phantom{13)}065\phantom{6}\\13\overline{)845}\\\phantom{13)}\underline{\phantom{}78\phantom{9}}\\\phantom{13)9}65\\\phantom{13)}\underline{\phantom{9}65\phantom{}}\\\phantom{13)999}0\\\end{array}
Find closest multiple of 13 to 65. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 65 to get reminder 0. Add 5 to quotient.
\text{Quotient: }65 \text{Reminder: }0
Since 0 is less than 13, stop the division. The reminder is 0. The topmost line 065 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 65.