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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)360}\\\end{array}
Use the 1^{st} digit 3 from dividend 360
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)360}\\\end{array}
Since 3 is less than 100, use the next digit 6 from dividend 360 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)360}\\\end{array}
Use the 2^{nd} digit 6 from dividend 360
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)360}\\\end{array}
Since 36 is less than 100, use the next digit 0 from dividend 360 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)360}\\\end{array}
Use the 3^{rd} digit 0 from dividend 360
\begin{array}{l}\phantom{100)}003\phantom{6}\\100\overline{)360}\\\phantom{100)}\underline{\phantom{}300\phantom{}}\\\phantom{100)9}60\\\end{array}
Find closest multiple of 100 to 360. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 360 to get reminder 60. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }60
Since 60 is less than 100, stop the division. The reminder is 60. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.