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\begin{array}{l}\phantom{360)}\phantom{1}\\360\overline{)10440}\\\end{array}
Use the 1^{st} digit 1 from dividend 10440
\begin{array}{l}\phantom{360)}0\phantom{2}\\360\overline{)10440}\\\end{array}
Since 1 is less than 360, use the next digit 0 from dividend 10440 and add 0 to the quotient
\begin{array}{l}\phantom{360)}0\phantom{3}\\360\overline{)10440}\\\end{array}
Use the 2^{nd} digit 0 from dividend 10440
\begin{array}{l}\phantom{360)}00\phantom{4}\\360\overline{)10440}\\\end{array}
Since 10 is less than 360, use the next digit 4 from dividend 10440 and add 0 to the quotient
\begin{array}{l}\phantom{360)}00\phantom{5}\\360\overline{)10440}\\\end{array}
Use the 3^{rd} digit 4 from dividend 10440
\begin{array}{l}\phantom{360)}000\phantom{6}\\360\overline{)10440}\\\end{array}
Since 104 is less than 360, use the next digit 4 from dividend 10440 and add 0 to the quotient
\begin{array}{l}\phantom{360)}000\phantom{7}\\360\overline{)10440}\\\end{array}
Use the 4^{th} digit 4 from dividend 10440
\begin{array}{l}\phantom{360)}0002\phantom{8}\\360\overline{)10440}\\\phantom{360)}\underline{\phantom{9}720\phantom{9}}\\\phantom{360)9}324\\\end{array}
Find closest multiple of 360 to 1044. We see that 2 \times 360 = 720 is the nearest. Now subtract 720 from 1044 to get reminder 324. Add 2 to quotient.
\begin{array}{l}\phantom{360)}0002\phantom{9}\\360\overline{)10440}\\\phantom{360)}\underline{\phantom{9}720\phantom{9}}\\\phantom{360)9}3240\\\end{array}
Use the 5^{th} digit 0 from dividend 10440
\begin{array}{l}\phantom{360)}00029\phantom{10}\\360\overline{)10440}\\\phantom{360)}\underline{\phantom{9}720\phantom{9}}\\\phantom{360)9}3240\\\phantom{360)}\underline{\phantom{9}3240\phantom{}}\\\phantom{360)99999}0\\\end{array}
Find closest multiple of 360 to 3240. We see that 9 \times 360 = 3240 is the nearest. Now subtract 3240 from 3240 to get reminder 0. Add 9 to quotient.
\text{Quotient: }29 \text{Reminder: }0
Since 0 is less than 360, stop the division. The reminder is 0. The topmost line 00029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.