Solve 11326/5463

$$\frac{ 11326 }{ 5463 }$$

Evaluate

$$\frac{11326}{5463}\approx 2.073219843$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11326

$$\begin{array}{l}\phantom{5463)}\phantom{1}\\5463\overline{)11326}\\\end{array}$$

Since 1 is less than 5463, use the next digit 1 from dividend 11326 and add 0 to the quotient

$$\begin{array}{l}\phantom{5463)}0\phantom{2}\\5463\overline{)11326}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11326

$$\begin{array}{l}\phantom{5463)}0\phantom{3}\\5463\overline{)11326}\\\end{array}$$

Since 11 is less than 5463, use the next digit 3 from dividend 11326 and add 0 to the quotient

$$\begin{array}{l}\phantom{5463)}00\phantom{4}\\5463\overline{)11326}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 11326

$$\begin{array}{l}\phantom{5463)}00\phantom{5}\\5463\overline{)11326}\\\end{array}$$

Since 113 is less than 5463, use the next digit 2 from dividend 11326 and add 0 to the quotient

$$\begin{array}{l}\phantom{5463)}000\phantom{6}\\5463\overline{)11326}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 11326

$$\begin{array}{l}\phantom{5463)}000\phantom{7}\\5463\overline{)11326}\\\end{array}$$

Since 1132 is less than 5463, use the next digit 6 from dividend 11326 and add 0 to the quotient

$$\begin{array}{l}\phantom{5463)}0000\phantom{8}\\5463\overline{)11326}\\\end{array}$$

Use the 5^{th} digit 6 from dividend 11326

$$\begin{array}{l}\phantom{5463)}0000\phantom{9}\\5463\overline{)11326}\\\end{array}$$

Find closest multiple of 5463 to 11326. We see that 2 \times 5463 = 10926 is the nearest. Now subtract 10926 from 11326 to get reminder 400. Add 2 to quotient.

$$\begin{array}{l}\phantom{5463)}00002\phantom{10}\\5463\overline{)11326}\\\phantom{5463)}\underline{\phantom{}10926\phantom{}}\\\phantom{5463)99}400\\\end{array}$$

Since 400 is less than 5463, stop the division. The reminder is 400. The topmost line 00002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }400$$

Factor

$$\frac{2 \cdot 7 \cdot 809}{3 ^ {2} \cdot 607} = 2\frac{400}{5463} = 2.0732198425773385$$