Solve 416/218

$$\frac { 416 } { 218 }$$

Evaluate

$$\frac{208}{109}\approx 1.908256881$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 416

$$\begin{array}{l}\phantom{218)}\phantom{1}\\218\overline{)416}\\\end{array}$$

Since 4 is less than 218, use the next digit 1 from dividend 416 and add 0 to the quotient

$$\begin{array}{l}\phantom{218)}0\phantom{2}\\218\overline{)416}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 416

$$\begin{array}{l}\phantom{218)}0\phantom{3}\\218\overline{)416}\\\end{array}$$

Since 41 is less than 218, use the next digit 6 from dividend 416 and add 0 to the quotient

$$\begin{array}{l}\phantom{218)}00\phantom{4}\\218\overline{)416}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 416

$$\begin{array}{l}\phantom{218)}00\phantom{5}\\218\overline{)416}\\\end{array}$$

Find closest multiple of 218 to 416. We see that 1 \times 218 = 218 is the nearest. Now subtract 218 from 416 to get reminder 198. Add 1 to quotient.

$$\begin{array}{l}\phantom{218)}001\phantom{6}\\218\overline{)416}\\\phantom{218)}\underline{\phantom{}218\phantom{}}\\\phantom{218)}198\\\end{array}$$

Since 198 is less than 218, stop the division. The reminder is 198. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }198$$

Factor

$$\frac{2 ^ {4} \cdot 13}{109} = 1\frac{99}{109} = 1.908256880733945$$