Solve 6000div711

$$6000 \div 711$$

Evaluate

$$\frac{2000}{237}\approx 8.438818565$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6000

$$\begin{array}{l}\phantom{711)}\phantom{1}\\711\overline{)6000}\\\end{array}$$

Since 6 is less than 711, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{711)}0\phantom{2}\\711\overline{)6000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{711)}0\phantom{3}\\711\overline{)6000}\\\end{array}$$

Since 60 is less than 711, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{711)}00\phantom{4}\\711\overline{)6000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{711)}00\phantom{5}\\711\overline{)6000}\\\end{array}$$

Since 600 is less than 711, use the next digit 0 from dividend 6000 and add 0 to the quotient

$$\begin{array}{l}\phantom{711)}000\phantom{6}\\711\overline{)6000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 6000

$$\begin{array}{l}\phantom{711)}000\phantom{7}\\711\overline{)6000}\\\end{array}$$

Find closest multiple of 711 to 6000. We see that 8 \times 711 = 5688 is the nearest. Now subtract 5688 from 6000 to get reminder 312. Add 8 to quotient.

$$\begin{array}{l}\phantom{711)}0008\phantom{8}\\711\overline{)6000}\\\phantom{711)}\underline{\phantom{}5688\phantom{}}\\\phantom{711)9}312\\\end{array}$$

Since 312 is less than 711, stop the division. The reminder is 312. The topmost line 0008 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 8.

$$\text{Quotient: }8 \text{Reminder: }312$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {3}}{3 \cdot 79} = 8\frac{104}{237} = 8.438818565400844$$