Solve 3877/1324

$$\frac { 3877 } { 1324 }$$

Evaluate

$$\frac{3877}{1324}\approx 2.928247734$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3877

$$\begin{array}{l}\phantom{1324)}\phantom{1}\\1324\overline{)3877}\\\end{array}$$

Since 3 is less than 1324, use the next digit 8 from dividend 3877 and add 0 to the quotient

$$\begin{array}{l}\phantom{1324)}0\phantom{2}\\1324\overline{)3877}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 3877

$$\begin{array}{l}\phantom{1324)}0\phantom{3}\\1324\overline{)3877}\\\end{array}$$

Since 38 is less than 1324, use the next digit 7 from dividend 3877 and add 0 to the quotient

$$\begin{array}{l}\phantom{1324)}00\phantom{4}\\1324\overline{)3877}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 3877

$$\begin{array}{l}\phantom{1324)}00\phantom{5}\\1324\overline{)3877}\\\end{array}$$

Since 387 is less than 1324, use the next digit 7 from dividend 3877 and add 0 to the quotient

$$\begin{array}{l}\phantom{1324)}000\phantom{6}\\1324\overline{)3877}\\\end{array}$$

Use the 4^{th} digit 7 from dividend 3877

$$\begin{array}{l}\phantom{1324)}000\phantom{7}\\1324\overline{)3877}\\\end{array}$$

Find closest multiple of 1324 to 3877. We see that 2 \times 1324 = 2648 is the nearest. Now subtract 2648 from 3877 to get reminder 1229. Add 2 to quotient.

$$\begin{array}{l}\phantom{1324)}0002\phantom{8}\\1324\overline{)3877}\\\phantom{1324)}\underline{\phantom{}2648\phantom{}}\\\phantom{1324)}1229\\\end{array}$$

Since 1229 is less than 1324, stop the division. The reminder is 1229. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }1229$$

Factor

$$\frac{3877}{2 ^ {2} \cdot 331} = 2\frac{1229}{1324} = 2.928247734138973$$