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\begin{array}{l}\phantom{15)}\phantom{1}\\15\overline{)55}\\\end{array}
Use the 1^{st} digit 5 from dividend 55
\begin{array}{l}\phantom{15)}0\phantom{2}\\15\overline{)55}\\\end{array}
Since 5 is less than 15, use the next digit 5 from dividend 55 and add 0 to the quotient
\begin{array}{l}\phantom{15)}0\phantom{3}\\15\overline{)55}\\\end{array}
Use the 2^{nd} digit 5 from dividend 55
\begin{array}{l}\phantom{15)}03\phantom{4}\\15\overline{)55}\\\phantom{15)}\underline{\phantom{}45\phantom{}}\\\phantom{15)}10\\\end{array}
Find closest multiple of 15 to 55. We see that 3 \times 15 = 45 is the nearest. Now subtract 45 from 55 to get reminder 10. Add 3 to quotient.
\text{Quotient: }3 \text{Reminder: }10
Since 10 is less than 15, stop the division. The reminder is 10. The topmost line 03 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.