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\begin{array}{l}\phantom{4320)}\phantom{1}\\4320\overline{)30240}\\\end{array}
Use the 1^{st} digit 3 from dividend 30240
\begin{array}{l}\phantom{4320)}0\phantom{2}\\4320\overline{)30240}\\\end{array}
Since 3 is less than 4320, use the next digit 0 from dividend 30240 and add 0 to the quotient
\begin{array}{l}\phantom{4320)}0\phantom{3}\\4320\overline{)30240}\\\end{array}
Use the 2^{nd} digit 0 from dividend 30240
\begin{array}{l}\phantom{4320)}00\phantom{4}\\4320\overline{)30240}\\\end{array}
Since 30 is less than 4320, use the next digit 2 from dividend 30240 and add 0 to the quotient
\begin{array}{l}\phantom{4320)}00\phantom{5}\\4320\overline{)30240}\\\end{array}
Use the 3^{rd} digit 2 from dividend 30240
\begin{array}{l}\phantom{4320)}000\phantom{6}\\4320\overline{)30240}\\\end{array}
Since 302 is less than 4320, use the next digit 4 from dividend 30240 and add 0 to the quotient
\begin{array}{l}\phantom{4320)}000\phantom{7}\\4320\overline{)30240}\\\end{array}
Use the 4^{th} digit 4 from dividend 30240
\begin{array}{l}\phantom{4320)}0000\phantom{8}\\4320\overline{)30240}\\\end{array}
Since 3024 is less than 4320, use the next digit 0 from dividend 30240 and add 0 to the quotient
\begin{array}{l}\phantom{4320)}0000\phantom{9}\\4320\overline{)30240}\\\end{array}
Use the 5^{th} digit 0 from dividend 30240
\begin{array}{l}\phantom{4320)}00007\phantom{10}\\4320\overline{)30240}\\\phantom{4320)}\underline{\phantom{}30240\phantom{}}\\\phantom{4320)99999}0\\\end{array}
Find closest multiple of 4320 to 30240. We see that 7 \times 4320 = 30240 is the nearest. Now subtract 30240 from 30240 to get reminder 0. Add 7 to quotient.
\text{Quotient: }7 \text{Reminder: }0
Since 0 is less than 4320, stop the division. The reminder is 0. The topmost line 00007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.