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\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)53}\\\end{array}
Use the 1^{st} digit 5 from dividend 53
\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)53}\\\end{array}
Since 5 is less than 25, use the next digit 3 from dividend 53 and add 0 to the quotient
\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)53}\\\end{array}
Use the 2^{nd} digit 3 from dividend 53
\begin{array}{l}\phantom{25)}02\phantom{4}\\25\overline{)53}\\\phantom{25)}\underline{\phantom{}50\phantom{}}\\\phantom{25)9}3\\\end{array}
Find closest multiple of 25 to 53. We see that 2 \times 25 = 50 is the nearest. Now subtract 50 from 53 to get reminder 3. Add 2 to quotient.
\text{Quotient: }2 \text{Reminder: }3
Since 3 is less than 25, stop the division. The reminder is 3. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.