Solve 6708/2162

$$\frac { 6708 } { 2162 }$$

Evaluate

$$\frac{3354}{1081}\approx 3.102682701$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6708

$$\begin{array}{l}\phantom{2162)}\phantom{1}\\2162\overline{)6708}\\\end{array}$$

Since 6 is less than 2162, use the next digit 7 from dividend 6708 and add 0 to the quotient

$$\begin{array}{l}\phantom{2162)}0\phantom{2}\\2162\overline{)6708}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 6708

$$\begin{array}{l}\phantom{2162)}0\phantom{3}\\2162\overline{)6708}\\\end{array}$$

Since 67 is less than 2162, use the next digit 0 from dividend 6708 and add 0 to the quotient

$$\begin{array}{l}\phantom{2162)}00\phantom{4}\\2162\overline{)6708}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 6708

$$\begin{array}{l}\phantom{2162)}00\phantom{5}\\2162\overline{)6708}\\\end{array}$$

Since 670 is less than 2162, use the next digit 8 from dividend 6708 and add 0 to the quotient

$$\begin{array}{l}\phantom{2162)}000\phantom{6}\\2162\overline{)6708}\\\end{array}$$

Use the 4^{th} digit 8 from dividend 6708

$$\begin{array}{l}\phantom{2162)}000\phantom{7}\\2162\overline{)6708}\\\end{array}$$

Find closest multiple of 2162 to 6708. We see that 3 \times 2162 = 6486 is the nearest. Now subtract 6486 from 6708 to get reminder 222. Add 3 to quotient.

$$\begin{array}{l}\phantom{2162)}0003\phantom{8}\\2162\overline{)6708}\\\phantom{2162)}\underline{\phantom{}6486\phantom{}}\\\phantom{2162)9}222\\\end{array}$$

Since 222 is less than 2162, stop the division. The reminder is 222. The topmost line 0003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }222$$

Factor

$$\frac{2 \cdot 3 \cdot 13 \cdot 43}{23 \cdot 47} = 3\frac{111}{1081} = 3.1026827012025904$$