Solve 15049/3000

$$15049 / 3000$$

Evaluate

$$\frac{15049}{3000}\approx 5.016333333$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 15049

$$\begin{array}{l}\phantom{3000)}\phantom{1}\\3000\overline{)15049}\\\end{array}$$

Since 1 is less than 3000, use the next digit 5 from dividend 15049 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}0\phantom{2}\\3000\overline{)15049}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 15049

$$\begin{array}{l}\phantom{3000)}0\phantom{3}\\3000\overline{)15049}\\\end{array}$$

Since 15 is less than 3000, use the next digit 0 from dividend 15049 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}00\phantom{4}\\3000\overline{)15049}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 15049

$$\begin{array}{l}\phantom{3000)}00\phantom{5}\\3000\overline{)15049}\\\end{array}$$

Since 150 is less than 3000, use the next digit 4 from dividend 15049 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}000\phantom{6}\\3000\overline{)15049}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 15049

$$\begin{array}{l}\phantom{3000)}000\phantom{7}\\3000\overline{)15049}\\\end{array}$$

Since 1504 is less than 3000, use the next digit 9 from dividend 15049 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}0000\phantom{8}\\3000\overline{)15049}\\\end{array}$$

Use the 5^{th} digit 9 from dividend 15049

$$\begin{array}{l}\phantom{3000)}0000\phantom{9}\\3000\overline{)15049}\\\end{array}$$

Find closest multiple of 3000 to 15049. We see that 5 \times 3000 = 15000 is the nearest. Now subtract 15000 from 15049 to get reminder 49. Add 5 to quotient.

$$\begin{array}{l}\phantom{3000)}00005\phantom{10}\\3000\overline{)15049}\\\phantom{3000)}\underline{\phantom{}15000\phantom{}}\\\phantom{3000)999}49\\\end{array}$$

Since 49 is less than 3000, stop the division. The reminder is 49. The topmost line 00005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }49$$

Factor

$$\frac{101 \cdot 149}{2 ^ {3} \cdot 3 \cdot 5 ^ {3}} = 5\frac{49}{3000} = 5.016333333333334$$