Solve 3600div48

$$3600 \div 48$$

Evaluate

$$75$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3600

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)3600}\\\end{array}$$

Since 3 is less than 48, use the next digit 6 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)3600}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 3600

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)3600}\\\end{array}$$

Since 36 is less than 48, use the next digit 0 from dividend 3600 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)3600}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3600

$$\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)3600}\\\end{array}$$

Find closest multiple of 48 to 360. We see that 7 \times 48 = 336 is the nearest. Now subtract 336 from 360 to get reminder 24. Add 7 to quotient.

$$\begin{array}{l}\phantom{48)}007\phantom{6}\\48\overline{)3600}\\\phantom{48)}\underline{\phantom{}336\phantom{9}}\\\phantom{48)9}24\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3600

$$\begin{array}{l}\phantom{48)}007\phantom{7}\\48\overline{)3600}\\\phantom{48)}\underline{\phantom{}336\phantom{9}}\\\phantom{48)9}240\\\end{array}$$

Find closest multiple of 48 to 240. We see that 5 \times 48 = 240 is the nearest. Now subtract 240 from 240 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{48)}0075\phantom{8}\\48\overline{)3600}\\\phantom{48)}\underline{\phantom{}336\phantom{9}}\\\phantom{48)9}240\\\phantom{48)}\underline{\phantom{9}240\phantom{}}\\\phantom{48)9999}0\\\end{array}$$

Since 0 is less than 48, stop the division. The reminder is 0. The topmost line 0075 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 75.

$$\text{Quotient: }75 \text{Reminder: }0$$

Factor

$$3\times 5^{2}$$