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\begin{array}{l}\phantom{726)}\phantom{1}\\726\overline{)1089}\\\end{array}
Use the 1^{st} digit 1 from dividend 1089
\begin{array}{l}\phantom{726)}0\phantom{2}\\726\overline{)1089}\\\end{array}
Since 1 is less than 726, use the next digit 0 from dividend 1089 and add 0 to the quotient
\begin{array}{l}\phantom{726)}0\phantom{3}\\726\overline{)1089}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1089
\begin{array}{l}\phantom{726)}00\phantom{4}\\726\overline{)1089}\\\end{array}
Since 10 is less than 726, use the next digit 8 from dividend 1089 and add 0 to the quotient
\begin{array}{l}\phantom{726)}00\phantom{5}\\726\overline{)1089}\\\end{array}
Use the 3^{rd} digit 8 from dividend 1089
\begin{array}{l}\phantom{726)}000\phantom{6}\\726\overline{)1089}\\\end{array}
Since 108 is less than 726, use the next digit 9 from dividend 1089 and add 0 to the quotient
\begin{array}{l}\phantom{726)}000\phantom{7}\\726\overline{)1089}\\\end{array}
Use the 4^{th} digit 9 from dividend 1089
\begin{array}{l}\phantom{726)}0001\phantom{8}\\726\overline{)1089}\\\phantom{726)}\underline{\phantom{9}726\phantom{}}\\\phantom{726)9}363\\\end{array}
Find closest multiple of 726 to 1089. We see that 1 \times 726 = 726 is the nearest. Now subtract 726 from 1089 to get reminder 363. Add 1 to quotient.
\text{Quotient: }1 \text{Reminder: }363
Since 363 is less than 726, stop the division. The reminder is 363. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.