Solve 450div24

$$450 \div 24$$

Evaluate

$$\frac{75}{4}=18.75$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 450

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)450}\\\end{array}$$

Since 4 is less than 24, use the next digit 5 from dividend 450 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)450}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 450

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)450}\\\end{array}$$

Find closest multiple of 24 to 45. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 45 to get reminder 21. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)450}\\\phantom{24)}\underline{\phantom{}24\phantom{9}}\\\phantom{24)}21\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 450

$$\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)450}\\\phantom{24)}\underline{\phantom{}24\phantom{9}}\\\phantom{24)}210\\\end{array}$$

Find closest multiple of 24 to 210. We see that 8 \times 24 = 192 is the nearest. Now subtract 192 from 210 to get reminder 18. Add 8 to quotient.

$$\begin{array}{l}\phantom{24)}018\phantom{6}\\24\overline{)450}\\\phantom{24)}\underline{\phantom{}24\phantom{9}}\\\phantom{24)}210\\\phantom{24)}\underline{\phantom{}192\phantom{}}\\\phantom{24)9}18\\\end{array}$$

Since 18 is less than 24, stop the division. The reminder is 18. The topmost line 018 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 18.

$$\text{Quotient: }18 \text{Reminder: }18$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {2}} = 18\frac{3}{4} = 18.75$$