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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)3672}\\\end{array}
Use the 1^{st} digit 3 from dividend 3672
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)3672}\\\end{array}
Since 3 is less than 60, use the next digit 6 from dividend 3672 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)3672}\\\end{array}
Use the 2^{nd} digit 6 from dividend 3672
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)3672}\\\end{array}
Since 36 is less than 60, use the next digit 7 from dividend 3672 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)3672}\\\end{array}
Use the 3^{rd} digit 7 from dividend 3672
\begin{array}{l}\phantom{60)}006\phantom{6}\\60\overline{)3672}\\\phantom{60)}\underline{\phantom{}360\phantom{9}}\\\phantom{60)99}7\\\end{array}
Find closest multiple of 60 to 367. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 367 to get reminder 7. Add 6 to quotient.
\begin{array}{l}\phantom{60)}006\phantom{7}\\60\overline{)3672}\\\phantom{60)}\underline{\phantom{}360\phantom{9}}\\\phantom{60)99}72\\\end{array}
Use the 4^{th} digit 2 from dividend 3672
\begin{array}{l}\phantom{60)}0061\phantom{8}\\60\overline{)3672}\\\phantom{60)}\underline{\phantom{}360\phantom{9}}\\\phantom{60)99}72\\\phantom{60)}\underline{\phantom{99}60\phantom{}}\\\phantom{60)99}12\\\end{array}
Find closest multiple of 60 to 72. We see that 1 \times 60 = 60 is the nearest. Now subtract 60 from 72 to get reminder 12. Add 1 to quotient.
\text{Quotient: }61 \text{Reminder: }12
Since 12 is less than 60, stop the division. The reminder is 12. The topmost line 0061 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 61.