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\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)1375}\\\end{array}
Use the 1^{st} digit 1 from dividend 1375
\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)1375}\\\end{array}
Since 1 is less than 30, use the next digit 3 from dividend 1375 and add 0 to the quotient
\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)1375}\\\end{array}
Use the 2^{nd} digit 3 from dividend 1375
\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)1375}\\\end{array}
Since 13 is less than 30, use the next digit 7 from dividend 1375 and add 0 to the quotient
\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)1375}\\\end{array}
Use the 3^{rd} digit 7 from dividend 1375
\begin{array}{l}\phantom{30)}004\phantom{6}\\30\overline{)1375}\\\phantom{30)}\underline{\phantom{}120\phantom{9}}\\\phantom{30)9}17\\\end{array}
Find closest multiple of 30 to 137. We see that 4 \times 30 = 120 is the nearest. Now subtract 120 from 137 to get reminder 17. Add 4 to quotient.
\begin{array}{l}\phantom{30)}004\phantom{7}\\30\overline{)1375}\\\phantom{30)}\underline{\phantom{}120\phantom{9}}\\\phantom{30)9}175\\\end{array}
Use the 4^{th} digit 5 from dividend 1375
\begin{array}{l}\phantom{30)}0045\phantom{8}\\30\overline{)1375}\\\phantom{30)}\underline{\phantom{}120\phantom{9}}\\\phantom{30)9}175\\\phantom{30)}\underline{\phantom{9}150\phantom{}}\\\phantom{30)99}25\\\end{array}
Find closest multiple of 30 to 175. We see that 5 \times 30 = 150 is the nearest. Now subtract 150 from 175 to get reminder 25. Add 5 to quotient.
\text{Quotient: }45 \text{Reminder: }25
Since 25 is less than 30, stop the division. The reminder is 25. The topmost line 0045 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 45.