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\begin{array}{l}\phantom{10)}\phantom{1}\\10\overline{)1080}\\\end{array}
Use the 1^{st} digit 1 from dividend 1080
\begin{array}{l}\phantom{10)}0\phantom{2}\\10\overline{)1080}\\\end{array}
Since 1 is less than 10, use the next digit 0 from dividend 1080 and add 0 to the quotient
\begin{array}{l}\phantom{10)}0\phantom{3}\\10\overline{)1080}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1080
\begin{array}{l}\phantom{10)}01\phantom{4}\\10\overline{)1080}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)99}0\\\end{array}
Find closest multiple of 10 to 10. We see that 1 \times 10 = 10 is the nearest. Now subtract 10 from 10 to get reminder 0. Add 1 to quotient.
\begin{array}{l}\phantom{10)}01\phantom{5}\\10\overline{)1080}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)99}8\\\end{array}
Use the 3^{rd} digit 8 from dividend 1080
\begin{array}{l}\phantom{10)}010\phantom{6}\\10\overline{)1080}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)99}8\\\end{array}
Since 8 is less than 10, use the next digit 0 from dividend 1080 and add 0 to the quotient
\begin{array}{l}\phantom{10)}010\phantom{7}\\10\overline{)1080}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)99}80\\\end{array}
Use the 4^{th} digit 0 from dividend 1080
\begin{array}{l}\phantom{10)}0108\phantom{8}\\10\overline{)1080}\\\phantom{10)}\underline{\phantom{}10\phantom{99}}\\\phantom{10)99}80\\\phantom{10)}\underline{\phantom{99}80\phantom{}}\\\phantom{10)9999}0\\\end{array}
Find closest multiple of 10 to 80. We see that 8 \times 10 = 80 is the nearest. Now subtract 80 from 80 to get reminder 0. Add 8 to quotient.
\text{Quotient: }108 \text{Reminder: }0
Since 0 is less than 10, stop the division. The reminder is 0. The topmost line 0108 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 108.