Solve 16160/10807

$$16160 / 10807$$

Evaluate

$$\frac{160}{107}\approx 1.495327103$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 16160

$$\begin{array}{l}\phantom{10807)}\phantom{1}\\10807\overline{)16160}\\\end{array}$$

Since 1 is less than 10807, use the next digit 6 from dividend 16160 and add 0 to the quotient

$$\begin{array}{l}\phantom{10807)}0\phantom{2}\\10807\overline{)16160}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 16160

$$\begin{array}{l}\phantom{10807)}0\phantom{3}\\10807\overline{)16160}\\\end{array}$$

Since 16 is less than 10807, use the next digit 1 from dividend 16160 and add 0 to the quotient

$$\begin{array}{l}\phantom{10807)}00\phantom{4}\\10807\overline{)16160}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 16160

$$\begin{array}{l}\phantom{10807)}00\phantom{5}\\10807\overline{)16160}\\\end{array}$$

Since 161 is less than 10807, use the next digit 6 from dividend 16160 and add 0 to the quotient

$$\begin{array}{l}\phantom{10807)}000\phantom{6}\\10807\overline{)16160}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 16160

$$\begin{array}{l}\phantom{10807)}000\phantom{7}\\10807\overline{)16160}\\\end{array}$$

Since 1616 is less than 10807, use the next digit 0 from dividend 16160 and add 0 to the quotient

$$\begin{array}{l}\phantom{10807)}0000\phantom{8}\\10807\overline{)16160}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 16160

$$\begin{array}{l}\phantom{10807)}0000\phantom{9}\\10807\overline{)16160}\\\end{array}$$

Find closest multiple of 10807 to 16160. We see that 1 \times 10807 = 10807 is the nearest. Now subtract 10807 from 16160 to get reminder 5353. Add 1 to quotient.

$$\begin{array}{l}\phantom{10807)}00001\phantom{10}\\10807\overline{)16160}\\\phantom{10807)}\underline{\phantom{}10807\phantom{}}\\\phantom{10807)9}5353\\\end{array}$$

Since 5353 is less than 10807, stop the division. The reminder is 5353. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }5353$$

Factor

$$\frac{2 ^ {5} \cdot 5}{107} = 1\frac{53}{107} = 1.4953271028037383$$