Solve 8784/6839

$$\frac { 8784 } { 6839 }$$

Evaluate

$$\frac{8784}{6839}\approx 1.284398304$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8784

$$\begin{array}{l}\phantom{6839)}\phantom{1}\\6839\overline{)8784}\\\end{array}$$

Since 8 is less than 6839, use the next digit 7 from dividend 8784 and add 0 to the quotient

$$\begin{array}{l}\phantom{6839)}0\phantom{2}\\6839\overline{)8784}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 8784

$$\begin{array}{l}\phantom{6839)}0\phantom{3}\\6839\overline{)8784}\\\end{array}$$

Since 87 is less than 6839, use the next digit 8 from dividend 8784 and add 0 to the quotient

$$\begin{array}{l}\phantom{6839)}00\phantom{4}\\6839\overline{)8784}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 8784

$$\begin{array}{l}\phantom{6839)}00\phantom{5}\\6839\overline{)8784}\\\end{array}$$

Since 878 is less than 6839, use the next digit 4 from dividend 8784 and add 0 to the quotient

$$\begin{array}{l}\phantom{6839)}000\phantom{6}\\6839\overline{)8784}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 8784

$$\begin{array}{l}\phantom{6839)}000\phantom{7}\\6839\overline{)8784}\\\end{array}$$

Find closest multiple of 6839 to 8784. We see that 1 \times 6839 = 6839 is the nearest. Now subtract 6839 from 8784 to get reminder 1945. Add 1 to quotient.

$$\begin{array}{l}\phantom{6839)}0001\phantom{8}\\6839\overline{)8784}\\\phantom{6839)}\underline{\phantom{}6839\phantom{}}\\\phantom{6839)}1945\\\end{array}$$

Since 1945 is less than 6839, stop the division. The reminder is 1945. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1945$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {2} \cdot 61}{7 \cdot 977} = 1\frac{1945}{6839} = 1.2843983038455915$$