Solve 1800/24

$$\frac { 1800 } { 24 }$$

Evaluate

$$75$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1800

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)1800}\\\end{array}$$

Since 1 is less than 24, use the next digit 8 from dividend 1800 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)1800}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 1800

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)1800}\\\end{array}$$

Since 18 is less than 24, use the next digit 0 from dividend 1800 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}00\phantom{4}\\24\overline{)1800}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1800

$$\begin{array}{l}\phantom{24)}00\phantom{5}\\24\overline{)1800}\\\end{array}$$

Find closest multiple of 24 to 180. We see that 7 \times 24 = 168 is the nearest. Now subtract 168 from 180 to get reminder 12. Add 7 to quotient.

$$\begin{array}{l}\phantom{24)}007\phantom{6}\\24\overline{)1800}\\\phantom{24)}\underline{\phantom{}168\phantom{9}}\\\phantom{24)9}12\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1800

$$\begin{array}{l}\phantom{24)}007\phantom{7}\\24\overline{)1800}\\\phantom{24)}\underline{\phantom{}168\phantom{9}}\\\phantom{24)9}120\\\end{array}$$

Find closest multiple of 24 to 120. We see that 5 \times 24 = 120 is the nearest. Now subtract 120 from 120 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{24)}0075\phantom{8}\\24\overline{)1800}\\\phantom{24)}\underline{\phantom{}168\phantom{9}}\\\phantom{24)9}120\\\phantom{24)}\underline{\phantom{9}120\phantom{}}\\\phantom{24)9999}0\\\end{array}$$

Since 0 is less than 24, 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

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