Solve 4500div48

$$4500 \div 48$$

Evaluate

$$\frac{375}{4}=93.75$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4500

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)4500}\\\end{array}$$

Since 4 is less than 48, use the next digit 5 from dividend 4500 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)4500}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 4500

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)4500}\\\end{array}$$

Since 45 is less than 48, use the next digit 0 from dividend 4500 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)4500}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4500

$$\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)4500}\\\end{array}$$

Find closest multiple of 48 to 450. We see that 9 \times 48 = 432 is the nearest. Now subtract 432 from 450 to get reminder 18. Add 9 to quotient.

$$\begin{array}{l}\phantom{48)}009\phantom{6}\\48\overline{)4500}\\\phantom{48)}\underline{\phantom{}432\phantom{9}}\\\phantom{48)9}18\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4500

$$\begin{array}{l}\phantom{48)}009\phantom{7}\\48\overline{)4500}\\\phantom{48)}\underline{\phantom{}432\phantom{9}}\\\phantom{48)9}180\\\end{array}$$

Find closest multiple of 48 to 180. We see that 3 \times 48 = 144 is the nearest. Now subtract 144 from 180 to get reminder 36. Add 3 to quotient.

$$\begin{array}{l}\phantom{48)}0093\phantom{8}\\48\overline{)4500}\\\phantom{48)}\underline{\phantom{}432\phantom{9}}\\\phantom{48)9}180\\\phantom{48)}\underline{\phantom{9}144\phantom{}}\\\phantom{48)99}36\\\end{array}$$

Since 36 is less than 48, stop the division. The reminder is 36. The topmost line 0093 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 93.

$$\text{Quotient: }93 \text{Reminder: }36$$

Factor

$$\frac{3 \cdot 5 ^ {3}}{2 ^ {2}} = 93\frac{3}{4} = 93.75$$