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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)305}\\\end{array}
Use the 1^{st} digit 3 from dividend 305
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)305}\\\end{array}
Since 3 is less than 100, use the next digit 0 from dividend 305 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)305}\\\end{array}
Use the 2^{nd} digit 0 from dividend 305
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)305}\\\end{array}
Since 30 is less than 100, use the next digit 5 from dividend 305 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)305}\\\end{array}
Use the 3^{rd} digit 5 from dividend 305
\begin{array}{l}\phantom{100)}003\phantom{6}\\100\overline{)305}\\\phantom{100)}\underline{\phantom{}300\phantom{}}\\\phantom{100)99}5\\\end{array}
Find closest multiple of 100 to 305. We see that 3 \times 100 = 300 is the nearest. Now subtract 300 from 305 to get reminder 5. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }5
Since 5 is less than 100, stop the division. The reminder is 5. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.