Solve 10800/48

$$\frac { 10800 } { 48 }$$

Evaluate

$$225$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10800

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)10800}\\\end{array}$$

Since 1 is less than 48, use the next digit 0 from dividend 10800 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)10800}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10800

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)10800}\\\end{array}$$

Since 10 is less than 48, use the next digit 8 from dividend 10800 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)10800}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 10800

$$\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)10800}\\\end{array}$$

Find closest multiple of 48 to 108. We see that 2 \times 48 = 96 is the nearest. Now subtract 96 from 108 to get reminder 12. Add 2 to quotient.

$$\begin{array}{l}\phantom{48)}002\phantom{6}\\48\overline{)10800}\\\phantom{48)}\underline{\phantom{9}96\phantom{99}}\\\phantom{48)9}12\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10800

$$\begin{array}{l}\phantom{48)}002\phantom{7}\\48\overline{)10800}\\\phantom{48)}\underline{\phantom{9}96\phantom{99}}\\\phantom{48)9}120\\\end{array}$$

Find closest multiple of 48 to 120. We see that 2 \times 48 = 96 is the nearest. Now subtract 96 from 120 to get reminder 24. Add 2 to quotient.

$$\begin{array}{l}\phantom{48)}0022\phantom{8}\\48\overline{)10800}\\\phantom{48)}\underline{\phantom{9}96\phantom{99}}\\\phantom{48)9}120\\\phantom{48)}\underline{\phantom{99}96\phantom{9}}\\\phantom{48)99}24\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10800

$$\begin{array}{l}\phantom{48)}0022\phantom{9}\\48\overline{)10800}\\\phantom{48)}\underline{\phantom{9}96\phantom{99}}\\\phantom{48)9}120\\\phantom{48)}\underline{\phantom{99}96\phantom{9}}\\\phantom{48)99}240\\\end{array}$$

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.

$$\begin{array}{l}\phantom{48)}00225\phantom{10}\\48\overline{)10800}\\\phantom{48)}\underline{\phantom{9}96\phantom{99}}\\\phantom{48)9}120\\\phantom{48)}\underline{\phantom{99}96\phantom{9}}\\\phantom{48)99}240\\\phantom{48)}\underline{\phantom{99}240\phantom{}}\\\phantom{48)99999}0\\\end{array}$$

Since 0 is less than 48, stop the division. The reminder is 0. The topmost line 00225 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 225.

$$\text{Quotient: }225 \text{Reminder: }0$$

Factor

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