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\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)702}\\\end{array}
Use the 1^{st} digit 7 from dividend 702
\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)702}\\\end{array}
Since 7 is less than 13, use the next digit 0 from dividend 702 and add 0 to the quotient
\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)702}\\\end{array}
Use the 2^{nd} digit 0 from dividend 702
\begin{array}{l}\phantom{13)}05\phantom{4}\\13\overline{)702}\\\phantom{13)}\underline{\phantom{}65\phantom{9}}\\\phantom{13)9}5\\\end{array}
Find closest multiple of 13 to 70. We see that 5 \times 13 = 65 is the nearest. Now subtract 65 from 70 to get reminder 5. Add 5 to quotient.
\begin{array}{l}\phantom{13)}05\phantom{5}\\13\overline{)702}\\\phantom{13)}\underline{\phantom{}65\phantom{9}}\\\phantom{13)9}52\\\end{array}
Use the 3^{rd} digit 2 from dividend 702
\begin{array}{l}\phantom{13)}054\phantom{6}\\13\overline{)702}\\\phantom{13)}\underline{\phantom{}65\phantom{9}}\\\phantom{13)9}52\\\phantom{13)}\underline{\phantom{9}52\phantom{}}\\\phantom{13)999}0\\\end{array}
Find closest multiple of 13 to 52. We see that 4 \times 13 = 52 is the nearest. Now subtract 52 from 52 to get reminder 0. Add 4 to quotient.
\text{Quotient: }54 \text{Reminder: }0
Since 0 is less than 13, stop the division. The reminder is 0. The topmost line 054 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 54.