Solve 15045/3000

$$15045 / 3000$$

Evaluate

$$\frac{1003}{200}=5.015$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 15045

$$\begin{array}{l}\phantom{3000)}\phantom{1}\\3000\overline{)15045}\\\end{array}$$

Since 1 is less than 3000, use the next digit 5 from dividend 15045 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}0\phantom{2}\\3000\overline{)15045}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 15045

$$\begin{array}{l}\phantom{3000)}0\phantom{3}\\3000\overline{)15045}\\\end{array}$$

Since 15 is less than 3000, use the next digit 0 from dividend 15045 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}00\phantom{4}\\3000\overline{)15045}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 15045

$$\begin{array}{l}\phantom{3000)}00\phantom{5}\\3000\overline{)15045}\\\end{array}$$

Since 150 is less than 3000, use the next digit 4 from dividend 15045 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}000\phantom{6}\\3000\overline{)15045}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 15045

$$\begin{array}{l}\phantom{3000)}000\phantom{7}\\3000\overline{)15045}\\\end{array}$$

Since 1504 is less than 3000, use the next digit 5 from dividend 15045 and add 0 to the quotient

$$\begin{array}{l}\phantom{3000)}0000\phantom{8}\\3000\overline{)15045}\\\end{array}$$

Use the 5^{th} digit 5 from dividend 15045

$$\begin{array}{l}\phantom{3000)}0000\phantom{9}\\3000\overline{)15045}\\\end{array}$$

Find closest multiple of 3000 to 15045. We see that 5 \times 3000 = 15000 is the nearest. Now subtract 15000 from 15045 to get reminder 45. Add 5 to quotient.

$$\begin{array}{l}\phantom{3000)}00005\phantom{10}\\3000\overline{)15045}\\\phantom{3000)}\underline{\phantom{}15000\phantom{}}\\\phantom{3000)999}45\\\end{array}$$

Since 45 is less than 3000, stop the division. The reminder is 45. The topmost line 00005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }45$$

Factor

$$\frac{17 \cdot 59}{2 ^ {3} \cdot 5 ^ {2}} = 5\frac{3}{200} = 5.015$$