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\begin{array}{l}\phantom{100)}\phantom{1}\\100\overline{)2502}\\\end{array}
Use the 1^{st} digit 2 from dividend 2502
\begin{array}{l}\phantom{100)}0\phantom{2}\\100\overline{)2502}\\\end{array}
Since 2 is less than 100, use the next digit 5 from dividend 2502 and add 0 to the quotient
\begin{array}{l}\phantom{100)}0\phantom{3}\\100\overline{)2502}\\\end{array}
Use the 2^{nd} digit 5 from dividend 2502
\begin{array}{l}\phantom{100)}00\phantom{4}\\100\overline{)2502}\\\end{array}
Since 25 is less than 100, use the next digit 0 from dividend 2502 and add 0 to the quotient
\begin{array}{l}\phantom{100)}00\phantom{5}\\100\overline{)2502}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2502
\begin{array}{l}\phantom{100)}002\phantom{6}\\100\overline{)2502}\\\phantom{100)}\underline{\phantom{}200\phantom{9}}\\\phantom{100)9}50\\\end{array}
Find closest multiple of 100 to 250. We see that 2 \times 100 = 200 is the nearest. Now subtract 200 from 250 to get reminder 50. Add 2 to quotient.
\begin{array}{l}\phantom{100)}002\phantom{7}\\100\overline{)2502}\\\phantom{100)}\underline{\phantom{}200\phantom{9}}\\\phantom{100)9}502\\\end{array}
Use the 4^{th} digit 2 from dividend 2502
\begin{array}{l}\phantom{100)}0025\phantom{8}\\100\overline{)2502}\\\phantom{100)}\underline{\phantom{}200\phantom{9}}\\\phantom{100)9}502\\\phantom{100)}\underline{\phantom{9}500\phantom{}}\\\phantom{100)999}2\\\end{array}
Find closest multiple of 100 to 502. We see that 5 \times 100 = 500 is the nearest. Now subtract 500 from 502 to get reminder 2. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }2
Since 2 is less than 100, stop the division. The reminder is 2. The topmost line 0025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.