Solve 8741/2984

$$\frac { 8741 } { 2984 }$$

Evaluate

$$\frac{8741}{2984}\approx 2.929289544$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8741

$$\begin{array}{l}\phantom{2984)}\phantom{1}\\2984\overline{)8741}\\\end{array}$$

Since 8 is less than 2984, use the next digit 7 from dividend 8741 and add 0 to the quotient

$$\begin{array}{l}\phantom{2984)}0\phantom{2}\\2984\overline{)8741}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 8741

$$\begin{array}{l}\phantom{2984)}0\phantom{3}\\2984\overline{)8741}\\\end{array}$$

Since 87 is less than 2984, use the next digit 4 from dividend 8741 and add 0 to the quotient

$$\begin{array}{l}\phantom{2984)}00\phantom{4}\\2984\overline{)8741}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 8741

$$\begin{array}{l}\phantom{2984)}00\phantom{5}\\2984\overline{)8741}\\\end{array}$$

Since 874 is less than 2984, use the next digit 1 from dividend 8741 and add 0 to the quotient

$$\begin{array}{l}\phantom{2984)}000\phantom{6}\\2984\overline{)8741}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 8741

$$\begin{array}{l}\phantom{2984)}000\phantom{7}\\2984\overline{)8741}\\\end{array}$$

Find closest multiple of 2984 to 8741. We see that 2 \times 2984 = 5968 is the nearest. Now subtract 5968 from 8741 to get reminder 2773. Add 2 to quotient.

$$\begin{array}{l}\phantom{2984)}0002\phantom{8}\\2984\overline{)8741}\\\phantom{2984)}\underline{\phantom{}5968\phantom{}}\\\phantom{2984)}2773\\\end{array}$$

Since 2773 is less than 2984, stop the division. The reminder is 2773. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }2773$$

Factor

$$\frac{8741}{2 ^ {3} \cdot 373} = 2\frac{2773}{2984} = 2.929289544235925$$