Solve 6519/1000

$$\frac { 6519 } { 1000 }$$

Evaluate

$$\frac{6519}{1000}=6.519$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6519

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)6519}\\\end{array}$$

Since 6 is less than 1000, use the next digit 5 from dividend 6519 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)6519}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 6519

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)6519}\\\end{array}$$

Since 65 is less than 1000, use the next digit 1 from dividend 6519 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)6519}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 6519

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)6519}\\\end{array}$$

Since 651 is less than 1000, use the next digit 9 from dividend 6519 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)6519}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 6519

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)6519}\\\end{array}$$

Find closest multiple of 1000 to 6519. We see that 6 \times 1000 = 6000 is the nearest. Now subtract 6000 from 6519 to get reminder 519. Add 6 to quotient.

$$\begin{array}{l}\phantom{1000)}0006\phantom{8}\\1000\overline{)6519}\\\phantom{1000)}\underline{\phantom{}6000\phantom{}}\\\phantom{1000)9}519\\\end{array}$$

Since 519 is less than 1000, stop the division. The reminder is 519. The topmost line 0006 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6.

$$\text{Quotient: }6 \text{Reminder: }519$$

Factor

$$\frac{3 \cdot 41 \cdot 53}{2 ^ {3} \cdot 5 ^ {3}} = 6\frac{519}{1000} = 6.519$$