Solve 896/414

$$\frac { 896 } { 414 }$$

Evaluate

$$\frac{448}{207}\approx 2.164251208$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 896

$$\begin{array}{l}\phantom{414)}\phantom{1}\\414\overline{)896}\\\end{array}$$

Since 8 is less than 414, use the next digit 9 from dividend 896 and add 0 to the quotient

$$\begin{array}{l}\phantom{414)}0\phantom{2}\\414\overline{)896}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 896

$$\begin{array}{l}\phantom{414)}0\phantom{3}\\414\overline{)896}\\\end{array}$$

Since 89 is less than 414, use the next digit 6 from dividend 896 and add 0 to the quotient

$$\begin{array}{l}\phantom{414)}00\phantom{4}\\414\overline{)896}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 896

$$\begin{array}{l}\phantom{414)}00\phantom{5}\\414\overline{)896}\\\end{array}$$

Find closest multiple of 414 to 896. We see that 2 \times 414 = 828 is the nearest. Now subtract 828 from 896 to get reminder 68. Add 2 to quotient.

$$\begin{array}{l}\phantom{414)}002\phantom{6}\\414\overline{)896}\\\phantom{414)}\underline{\phantom{}828\phantom{}}\\\phantom{414)9}68\\\end{array}$$

Since 68 is less than 414, stop the division. The reminder is 68. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }68$$

Factor

$$\frac{2 ^ {6} \cdot 7}{3 ^ {2} \cdot 23} = 2\frac{34}{207} = 2.1642512077294684$$