Solve 3949/3000

$$\frac{ 3949 }{ 3000 }$$

Evaluate

$$\frac{3949}{3000}\approx 1.316333333$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3949

$$\begin{array}{l}\phantom{3000)}\phantom{1}\\3000\overline{)3949}\\\end{array}$$

Since 3 is less than 3000, use the next digit 9 from dividend 3949 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}0\phantom{2}\\3000\overline{)3949}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 3949

$$\begin{array}{l}\phantom{3000)}0\phantom{3}\\3000\overline{)3949}\\\end{array}$$

Since 39 is less than 3000, use the next digit 4 from dividend 3949 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}00\phantom{4}\\3000\overline{)3949}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 3949

$$\begin{array}{l}\phantom{3000)}00\phantom{5}\\3000\overline{)3949}\\\end{array}$$

Since 394 is less than 3000, use the next digit 9 from dividend 3949 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}000\phantom{6}\\3000\overline{)3949}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 3949

$$\begin{array}{l}\phantom{3000)}000\phantom{7}\\3000\overline{)3949}\\\end{array}$$

Find closest multiple of 3000 to 3949. We see that 1 \times 3000 = 3000 is the nearest. Now subtract 3000 from 3949 to get reminder 949. Add 1 to quotient.

$$\begin{array}{l}\phantom{3000)}0001\phantom{8}\\3000\overline{)3949}\\\phantom{3000)}\underline{\phantom{}3000\phantom{}}\\\phantom{3000)9}949\\\end{array}$$

Since 949 is less than 3000, stop the division. The reminder is 949. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }949$$

Factor

$$\frac{11 \cdot 359}{2 ^ {3} \cdot 3 \cdot 5 ^ {3}} = 1\frac{949}{3000} = 1.3163333333333334$$