Solve 24843/6400

$$\frac{ 24843 }{ 6400 }$$

Evaluate

$$\frac{24843}{6400}=3.88171875$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 24843

$$\begin{array}{l}\phantom{6400)}\phantom{1}\\6400\overline{)24843}\\\end{array}$$

Since 2 is less than 6400, use the next digit 4 from dividend 24843 and add 0 to the quotient

$$\begin{array}{l}\phantom{6400)}0\phantom{2}\\6400\overline{)24843}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 24843

$$\begin{array}{l}\phantom{6400)}0\phantom{3}\\6400\overline{)24843}\\\end{array}$$

Since 24 is less than 6400, use the next digit 8 from dividend 24843 and add 0 to the quotient

$$\begin{array}{l}\phantom{6400)}00\phantom{4}\\6400\overline{)24843}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 24843

$$\begin{array}{l}\phantom{6400)}00\phantom{5}\\6400\overline{)24843}\\\end{array}$$

Since 248 is less than 6400, use the next digit 4 from dividend 24843 and add 0 to the quotient

$$\begin{array}{l}\phantom{6400)}000\phantom{6}\\6400\overline{)24843}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 24843

$$\begin{array}{l}\phantom{6400)}000\phantom{7}\\6400\overline{)24843}\\\end{array}$$

Since 2484 is less than 6400, use the next digit 3 from dividend 24843 and add 0 to the quotient

$$\begin{array}{l}\phantom{6400)}0000\phantom{8}\\6400\overline{)24843}\\\end{array}$$

Use the 5^{th} digit 3 from dividend 24843

$$\begin{array}{l}\phantom{6400)}0000\phantom{9}\\6400\overline{)24843}\\\end{array}$$

Find closest multiple of 6400 to 24843. We see that 3 \times 6400 = 19200 is the nearest. Now subtract 19200 from 24843 to get reminder 5643. Add 3 to quotient.

$$\begin{array}{l}\phantom{6400)}00003\phantom{10}\\6400\overline{)24843}\\\phantom{6400)}\underline{\phantom{}19200\phantom{}}\\\phantom{6400)9}5643\\\end{array}$$

Since 5643 is less than 6400, stop the division. The reminder is 5643. The topmost line 00003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }5643$$

Factor

$$\frac{3 \cdot 7 ^ {2} \cdot 13 ^ {2}}{2 ^ {8} \cdot 5 ^ {2}} = 3\frac{5643}{6400} = 3.88171875$$