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\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)275}\\\end{array}
Use the 1^{st} digit 2 from dividend 275
\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)275}\\\end{array}
Since 2 is less than 11, use the next digit 7 from dividend 275 and add 0 to the quotient
\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)275}\\\end{array}
Use the 2^{nd} digit 7 from dividend 275
\begin{array}{l}\phantom{11)}02\phantom{4}\\11\overline{)275}\\\phantom{11)}\underline{\phantom{}22\phantom{9}}\\\phantom{11)9}5\\\end{array}
Find closest multiple of 11 to 27. We see that 2 \times 11 = 22 is the nearest. Now subtract 22 from 27 to get reminder 5. Add 2 to quotient.
\begin{array}{l}\phantom{11)}02\phantom{5}\\11\overline{)275}\\\phantom{11)}\underline{\phantom{}22\phantom{9}}\\\phantom{11)9}55\\\end{array}
Use the 3^{rd} digit 5 from dividend 275
\begin{array}{l}\phantom{11)}025\phantom{6}\\11\overline{)275}\\\phantom{11)}\underline{\phantom{}22\phantom{9}}\\\phantom{11)9}55\\\phantom{11)}\underline{\phantom{9}55\phantom{}}\\\phantom{11)999}0\\\end{array}
Find closest multiple of 11 to 55. We see that 5 \times 11 = 55 is the nearest. Now subtract 55 from 55 to get reminder 0. Add 5 to quotient.
\text{Quotient: }25 \text{Reminder: }0
Since 0 is less than 11, stop the division. The reminder is 0. The topmost line 025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.