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\begin{array}{l}\phantom{360)}\phantom{1}\\360\overline{)5024}\\\end{array}
Use the 1^{st} digit 5 from dividend 5024
\begin{array}{l}\phantom{360)}0\phantom{2}\\360\overline{)5024}\\\end{array}
Since 5 is less than 360, use the next digit 0 from dividend 5024 and add 0 to the quotient
\begin{array}{l}\phantom{360)}0\phantom{3}\\360\overline{)5024}\\\end{array}
Use the 2^{nd} digit 0 from dividend 5024
\begin{array}{l}\phantom{360)}00\phantom{4}\\360\overline{)5024}\\\end{array}
Since 50 is less than 360, use the next digit 2 from dividend 5024 and add 0 to the quotient
\begin{array}{l}\phantom{360)}00\phantom{5}\\360\overline{)5024}\\\end{array}
Use the 3^{rd} digit 2 from dividend 5024
\begin{array}{l}\phantom{360)}001\phantom{6}\\360\overline{)5024}\\\phantom{360)}\underline{\phantom{}360\phantom{9}}\\\phantom{360)}142\\\end{array}
Find closest multiple of 360 to 502. We see that 1 \times 360 = 360 is the nearest. Now subtract 360 from 502 to get reminder 142. Add 1 to quotient.
\begin{array}{l}\phantom{360)}001\phantom{7}\\360\overline{)5024}\\\phantom{360)}\underline{\phantom{}360\phantom{9}}\\\phantom{360)}1424\\\end{array}
Use the 4^{th} digit 4 from dividend 5024
\begin{array}{l}\phantom{360)}0013\phantom{8}\\360\overline{)5024}\\\phantom{360)}\underline{\phantom{}360\phantom{9}}\\\phantom{360)}1424\\\phantom{360)}\underline{\phantom{}1080\phantom{}}\\\phantom{360)9}344\\\end{array}
Find closest multiple of 360 to 1424. We see that 3 \times 360 = 1080 is the nearest. Now subtract 1080 from 1424 to get reminder 344. Add 3 to quotient.
\text{Quotient: }13 \text{Reminder: }344
Since 344 is less than 360, stop the division. The reminder is 344. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.