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\begin{array}{l}\phantom{300)}\phantom{1}\\300\overline{)7500}\\\end{array}
Use the 1^{st} digit 7 from dividend 7500
\begin{array}{l}\phantom{300)}0\phantom{2}\\300\overline{)7500}\\\end{array}
Since 7 is less than 300, use the next digit 5 from dividend 7500 and add 0 to the quotient
\begin{array}{l}\phantom{300)}0\phantom{3}\\300\overline{)7500}\\\end{array}
Use the 2^{nd} digit 5 from dividend 7500
\begin{array}{l}\phantom{300)}00\phantom{4}\\300\overline{)7500}\\\end{array}
Since 75 is less than 300, use the next digit 0 from dividend 7500 and add 0 to the quotient
\begin{array}{l}\phantom{300)}00\phantom{5}\\300\overline{)7500}\\\end{array}
Use the 3^{rd} digit 0 from dividend 7500
\begin{array}{l}\phantom{300)}002\phantom{6}\\300\overline{)7500}\\\phantom{300)}\underline{\phantom{}600\phantom{9}}\\\phantom{300)}150\\\end{array}
Find closest multiple of 300 to 750. We see that 2 \times 300 = 600 is the nearest. Now subtract 600 from 750 to get reminder 150. Add 2 to quotient.
\begin{array}{l}\phantom{300)}002\phantom{7}\\300\overline{)7500}\\\phantom{300)}\underline{\phantom{}600\phantom{9}}\\\phantom{300)}1500\\\end{array}
Use the 4^{th} digit 0 from dividend 7500
\begin{array}{l}\phantom{300)}0025\phantom{8}\\300\overline{)7500}\\\phantom{300)}\underline{\phantom{}600\phantom{9}}\\\phantom{300)}1500\\\phantom{300)}\underline{\phantom{}1500\phantom{}}\\\phantom{300)9999}0\\\end{array}
Find closest multiple of 300 to 1500. We see that 5 \times 300 = 1500 is the nearest. Now subtract 1500 from 1500 to get reminder 0. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }0
Since 0 is less than 300, stop the division. The reminder is 0. The topmost line 0025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.