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\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)1035}\\\end{array}
Use the 1^{st} digit 1 from dividend 1035
\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)1035}\\\end{array}
Since 1 is less than 35, use the next digit 0 from dividend 1035 and add 0 to the quotient
\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)1035}\\\end{array}
Use the 2^{nd} digit 0 from dividend 1035
\begin{array}{l}\phantom{35)}00\phantom{4}\\35\overline{)1035}\\\end{array}
Since 10 is less than 35, use the next digit 3 from dividend 1035 and add 0 to the quotient
\begin{array}{l}\phantom{35)}00\phantom{5}\\35\overline{)1035}\\\end{array}
Use the 3^{rd} digit 3 from dividend 1035
\begin{array}{l}\phantom{35)}002\phantom{6}\\35\overline{)1035}\\\phantom{35)}\underline{\phantom{9}70\phantom{9}}\\\phantom{35)9}33\\\end{array}
Find closest multiple of 35 to 103. We see that 2 \times 35 = 70 is the nearest. Now subtract 70 from 103 to get reminder 33. Add 2 to quotient.
\begin{array}{l}\phantom{35)}002\phantom{7}\\35\overline{)1035}\\\phantom{35)}\underline{\phantom{9}70\phantom{9}}\\\phantom{35)9}335\\\end{array}
Use the 4^{th} digit 5 from dividend 1035
\begin{array}{l}\phantom{35)}0029\phantom{8}\\35\overline{)1035}\\\phantom{35)}\underline{\phantom{9}70\phantom{9}}\\\phantom{35)9}335\\\phantom{35)}\underline{\phantom{9}315\phantom{}}\\\phantom{35)99}20\\\end{array}
Find closest multiple of 35 to 335. We see that 9 \times 35 = 315 is the nearest. Now subtract 315 from 335 to get reminder 20. Add 9 to quotient.
\text{Quotient: }29 \text{Reminder: }20
Since 20 is less than 35, stop the division. The reminder is 20. The topmost line 0029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.