Solve 10000div2400

$$10000 \div 2400$$

Evaluate

$$\frac{25}{6}\approx 4.166666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 10000

$$\begin{array}{l}\phantom{2400)}\phantom{1}\\2400\overline{)10000}\\\end{array}$$

Since 1 is less than 2400, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2400)}0\phantom{2}\\2400\overline{)10000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{2400)}0\phantom{3}\\2400\overline{)10000}\\\end{array}$$

Since 10 is less than 2400, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2400)}00\phantom{4}\\2400\overline{)10000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{2400)}00\phantom{5}\\2400\overline{)10000}\\\end{array}$$

Since 100 is less than 2400, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2400)}000\phantom{6}\\2400\overline{)10000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{2400)}000\phantom{7}\\2400\overline{)10000}\\\end{array}$$

Since 1000 is less than 2400, use the next digit 0 from dividend 10000 and add 0 to the quotient

$$\begin{array}{l}\phantom{2400)}0000\phantom{8}\\2400\overline{)10000}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 10000

$$\begin{array}{l}\phantom{2400)}0000\phantom{9}\\2400\overline{)10000}\\\end{array}$$

Find closest multiple of 2400 to 10000. We see that 4 \times 2400 = 9600 is the nearest. Now subtract 9600 from 10000 to get reminder 400. Add 4 to quotient.

$$\begin{array}{l}\phantom{2400)}00004\phantom{10}\\2400\overline{)10000}\\\phantom{2400)}\underline{\phantom{9}9600\phantom{}}\\\phantom{2400)99}400\\\end{array}$$

Since 400 is less than 2400, stop the division. The reminder is 400. The topmost line 00004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }400$$

Factor

$$\frac{5 ^ {2}}{2 \cdot 3} = 4\frac{1}{6} = 4.166666666666667$$