Solve 362880/120

$$\frac{ 362880 }{ 120 }$$

Evaluate

$$3024$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 362880

$$\begin{array}{l}\phantom{120)}\phantom{1}\\120\overline{)362880}\\\end{array}$$

Since 3 is less than 120, use the next digit 6 from dividend 362880 and add 0 to the quotient

$$\begin{array}{l}\phantom{120)}0\phantom{2}\\120\overline{)362880}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 362880

$$\begin{array}{l}\phantom{120)}0\phantom{3}\\120\overline{)362880}\\\end{array}$$

Since 36 is less than 120, use the next digit 2 from dividend 362880 and add 0 to the quotient

$$\begin{array}{l}\phantom{120)}00\phantom{4}\\120\overline{)362880}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 362880

$$\begin{array}{l}\phantom{120)}00\phantom{5}\\120\overline{)362880}\\\end{array}$$

Find closest multiple of 120 to 362. We see that 3 \times 120 = 360 is the nearest. Now subtract 360 from 362 to get reminder 2. Add 3 to quotient.

$$\begin{array}{l}\phantom{120)}003\phantom{6}\\120\overline{)362880}\\\phantom{120)}\underline{\phantom{}360\phantom{999}}\\\phantom{120)99}2\\\end{array}$$

Use the 4^{th} digit 8 from dividend 362880

$$\begin{array}{l}\phantom{120)}003\phantom{7}\\120\overline{)362880}\\\phantom{120)}\underline{\phantom{}360\phantom{999}}\\\phantom{120)99}28\\\end{array}$$

Since 28 is less than 120, use the next digit 8 from dividend 362880 and add 0 to the quotient

$$\begin{array}{l}\phantom{120)}0030\phantom{8}\\120\overline{)362880}\\\phantom{120)}\underline{\phantom{}360\phantom{999}}\\\phantom{120)99}28\\\end{array}$$

Use the 5^{th} digit 8 from dividend 362880

$$\begin{array}{l}\phantom{120)}0030\phantom{9}\\120\overline{)362880}\\\phantom{120)}\underline{\phantom{}360\phantom{999}}\\\phantom{120)99}288\\\end{array}$$

Find closest multiple of 120 to 288. We see that 2 \times 120 = 240 is the nearest. Now subtract 240 from 288 to get reminder 48. Add 2 to quotient.

$$\begin{array}{l}\phantom{120)}00302\phantom{10}\\120\overline{)362880}\\\phantom{120)}\underline{\phantom{}360\phantom{999}}\\\phantom{120)99}288\\\phantom{120)}\underline{\phantom{99}240\phantom{9}}\\\phantom{120)999}48\\\end{array}$$

Use the 6^{th} digit 0 from dividend 362880

$$\begin{array}{l}\phantom{120)}00302\phantom{11}\\120\overline{)362880}\\\phantom{120)}\underline{\phantom{}360\phantom{999}}\\\phantom{120)99}288\\\phantom{120)}\underline{\phantom{99}240\phantom{9}}\\\phantom{120)999}480\\\end{array}$$

Find closest multiple of 120 to 480. We see that 4 \times 120 = 480 is the nearest. Now subtract 480 from 480 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{120)}003024\phantom{12}\\120\overline{)362880}\\\phantom{120)}\underline{\phantom{}360\phantom{999}}\\\phantom{120)99}288\\\phantom{120)}\underline{\phantom{99}240\phantom{9}}\\\phantom{120)999}480\\\phantom{120)}\underline{\phantom{999}480\phantom{}}\\\phantom{120)999999}0\\\end{array}$$

Since 0 is less than 120, stop the division. The reminder is 0. The topmost line 003024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3024.

$$\text{Quotient: }3024 \text{Reminder: }0$$

Factor

$$2^{4}\times 3^{3}\times 7$$