Solve 24300/6400

$$\frac{ 24300 }{ 6400 }$$

Evaluate

$$\frac{243}{64}=3.796875$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 24300

$$\begin{array}{l}\phantom{6400)}\phantom{1}\\6400\overline{)24300}\\\end{array}$$

Since 2 is less than 6400, use the next digit 4 from dividend 24300 and add 0 to the quotient

$$\begin{array}{l}\phantom{6400)}0\phantom{2}\\6400\overline{)24300}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 24300

$$\begin{array}{l}\phantom{6400)}0\phantom{3}\\6400\overline{)24300}\\\end{array}$$

Since 24 is less than 6400, use the next digit 3 from dividend 24300 and add 0 to the quotient

$$\begin{array}{l}\phantom{6400)}00\phantom{4}\\6400\overline{)24300}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 24300

$$\begin{array}{l}\phantom{6400)}00\phantom{5}\\6400\overline{)24300}\\\end{array}$$

Since 243 is less than 6400, use the next digit 0 from dividend 24300 and add 0 to the quotient

$$\begin{array}{l}\phantom{6400)}000\phantom{6}\\6400\overline{)24300}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 24300

$$\begin{array}{l}\phantom{6400)}000\phantom{7}\\6400\overline{)24300}\\\end{array}$$

Since 2430 is less than 6400, use the next digit 0 from dividend 24300 and add 0 to the quotient

$$\begin{array}{l}\phantom{6400)}0000\phantom{8}\\6400\overline{)24300}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 24300

$$\begin{array}{l}\phantom{6400)}0000\phantom{9}\\6400\overline{)24300}\\\end{array}$$

Find closest multiple of 6400 to 24300. We see that 3 \times 6400 = 19200 is the nearest. Now subtract 19200 from 24300 to get reminder 5100. Add 3 to quotient.

$$\begin{array}{l}\phantom{6400)}00003\phantom{10}\\6400\overline{)24300}\\\phantom{6400)}\underline{\phantom{}19200\phantom{}}\\\phantom{6400)9}5100\\\end{array}$$

Since 5100 is less than 6400, stop the division. The reminder is 5100. The topmost line 00003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }5100$$

Factor

$$\frac{3 ^ {5}}{2 ^ {6}} = 3\frac{51}{64} = 3.796875$$