Solve 800/686=

$$\frac { 800 } { 686 } =$$

Evaluate

$$\frac{400}{343}\approx 1.166180758$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 800

$$\begin{array}{l}\phantom{686)}\phantom{1}\\686\overline{)800}\\\end{array}$$

Since 8 is less than 686, use the next digit 0 from dividend 800 and add 0 to the quotient

$$\begin{array}{l}\phantom{686)}0\phantom{2}\\686\overline{)800}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 800

$$\begin{array}{l}\phantom{686)}0\phantom{3}\\686\overline{)800}\\\end{array}$$

Since 80 is less than 686, use the next digit 0 from dividend 800 and add 0 to the quotient

$$\begin{array}{l}\phantom{686)}00\phantom{4}\\686\overline{)800}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 800

$$\begin{array}{l}\phantom{686)}00\phantom{5}\\686\overline{)800}\\\end{array}$$

Find closest multiple of 686 to 800. We see that 1 \times 686 = 686 is the nearest. Now subtract 686 from 800 to get reminder 114. Add 1 to quotient.

$$\begin{array}{l}\phantom{686)}001\phantom{6}\\686\overline{)800}\\\phantom{686)}\underline{\phantom{}686\phantom{}}\\\phantom{686)}114\\\end{array}$$

Since 114 is less than 686, stop the division. The reminder is 114. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }114$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {2}}{7 ^ {3}} = 1\frac{57}{343} = 1.1661807580174928$$