Solve 11320/8489

$$\frac { 11320 } { 8489 }$$

Evaluate

$$\frac{11320}{8489}\approx 1.333490399$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 11320

$$\begin{array}{l}\phantom{8489)}\phantom{1}\\8489\overline{)11320}\\\end{array}$$

Since 1 is less than 8489, use the next digit 1 from dividend 11320 and add 0 to the quotient

$$\begin{array}{l}\phantom{8489)}0\phantom{2}\\8489\overline{)11320}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 11320

$$\begin{array}{l}\phantom{8489)}0\phantom{3}\\8489\overline{)11320}\\\end{array}$$

Since 11 is less than 8489, use the next digit 3 from dividend 11320 and add 0 to the quotient

$$\begin{array}{l}\phantom{8489)}00\phantom{4}\\8489\overline{)11320}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 11320

$$\begin{array}{l}\phantom{8489)}00\phantom{5}\\8489\overline{)11320}\\\end{array}$$

Since 113 is less than 8489, use the next digit 2 from dividend 11320 and add 0 to the quotient

$$\begin{array}{l}\phantom{8489)}000\phantom{6}\\8489\overline{)11320}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 11320

$$\begin{array}{l}\phantom{8489)}000\phantom{7}\\8489\overline{)11320}\\\end{array}$$

Since 1132 is less than 8489, use the next digit 0 from dividend 11320 and add 0 to the quotient

$$\begin{array}{l}\phantom{8489)}0000\phantom{8}\\8489\overline{)11320}\\\end{array}$$

Use the 5^{th} digit 0 from dividend 11320

$$\begin{array}{l}\phantom{8489)}0000\phantom{9}\\8489\overline{)11320}\\\end{array}$$

Find closest multiple of 8489 to 11320. We see that 1 \times 8489 = 8489 is the nearest. Now subtract 8489 from 11320 to get reminder 2831. Add 1 to quotient.

$$\begin{array}{l}\phantom{8489)}00001\phantom{10}\\8489\overline{)11320}\\\phantom{8489)}\underline{\phantom{9}8489\phantom{}}\\\phantom{8489)9}2831\\\end{array}$$

Since 2831 is less than 8489, stop the division. The reminder is 2831. The topmost line 00001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }2831$$

Factor

$$\frac{2 ^ {3} \cdot 5 \cdot 283}{13 \cdot 653} = 1\frac{2831}{8489} = 1.3334903993403229$$