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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)300}\\\end{array}
Use the 1^{st} digit 3 from dividend 300
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)300}\\\end{array}
Since 3 is less than 25, use the next digit 0 from dividend 300 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)300}\\\end{array}
Use the 2^{nd} digit 0 from dividend 300
\begin{array}{l}\phantom{25)}01\phantom{4}\\25\overline{)300}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)9}5\\\end{array}
Find closest multiple of 25 to 30. We see that 1 \times 25 = 25 is the nearest. Now subtract 25 from 30 to get reminder 5. Add 1 to quotient.
\begin{array}{l}\phantom{25)}01\phantom{5}\\25\overline{)300}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)9}50\\\end{array}
Use the 3^{rd} digit 0 from dividend 300
\begin{array}{l}\phantom{25)}012\phantom{6}\\25\overline{)300}\\\phantom{25)}\underline{\phantom{}25\phantom{9}}\\\phantom{25)9}50\\\phantom{25)}\underline{\phantom{9}50\phantom{}}\\\phantom{25)999}0\\\end{array}
Find closest multiple of 25 to 50. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 50 to get reminder 0. Add 2 to quotient.
\text{Quotient: }12 \text{Reminder: }0
Since 0 is less than 25, stop the division. The reminder is 0. The topmost line 012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.