Solve 2408/1000

$$\frac { 2408 } { 1000 }$$

Evaluate

$$\frac{301}{125}=2.408$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2408

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)2408}\\\end{array}$$

Since 2 is less than 1000, use the next digit 4 from dividend 2408 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)2408}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 2408

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)2408}\\\end{array}$$

Since 24 is less than 1000, use the next digit 0 from dividend 2408 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)2408}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2408

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)2408}\\\end{array}$$

Since 240 is less than 1000, use the next digit 8 from dividend 2408 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)2408}\\\end{array}$$

Use the 4^{th} digit 8 from dividend 2408

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)2408}\\\end{array}$$

Find closest multiple of 1000 to 2408. We see that 2 \times 1000 = 2000 is the nearest. Now subtract 2000 from 2408 to get reminder 408. Add 2 to quotient.

$$\begin{array}{l}\phantom{1000)}0002\phantom{8}\\1000\overline{)2408}\\\phantom{1000)}\underline{\phantom{}2000\phantom{}}\\\phantom{1000)9}408\\\end{array}$$

Since 408 is less than 1000, stop the division. The reminder is 408. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }408$$

Factor

$$\frac{7 \cdot 43}{5 ^ {3}} = 2\frac{51}{125} = 2.408$$