Solve 786/343

$$\frac { 786 } { 343 }$$

Evaluate

$$\frac{786}{343}\approx 2.29154519$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 786

$$\begin{array}{l}\phantom{343)}\phantom{1}\\343\overline{)786}\\\end{array}$$

Since 7 is less than 343, use the next digit 8 from dividend 786 and add 0 to the quotient

$$\begin{array}{l}\phantom{343)}0\phantom{2}\\343\overline{)786}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 786

$$\begin{array}{l}\phantom{343)}0\phantom{3}\\343\overline{)786}\\\end{array}$$

Since 78 is less than 343, use the next digit 6 from dividend 786 and add 0 to the quotient

$$\begin{array}{l}\phantom{343)}00\phantom{4}\\343\overline{)786}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 786

$$\begin{array}{l}\phantom{343)}00\phantom{5}\\343\overline{)786}\\\end{array}$$

Find closest multiple of 343 to 786. We see that 2 \times 343 = 686 is the nearest. Now subtract 686 from 786 to get reminder 100. Add 2 to quotient.

$$\begin{array}{l}\phantom{343)}002\phantom{6}\\343\overline{)786}\\\phantom{343)}\underline{\phantom{}686\phantom{}}\\\phantom{343)}100\\\end{array}$$

Since 100 is less than 343, stop the division. The reminder is 100. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }100$$

Factor

$$\frac{2 \cdot 3 \cdot 131}{7 ^ {3}} = 2\frac{100}{343} = 2.2915451895043732$$