Solve 2716/343

$$\frac { 2716 } { 343 }$$

Evaluate

$$\frac{388}{49}\approx 7.918367347$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2716

$$\begin{array}{l}\phantom{343)}\phantom{1}\\343\overline{)2716}\\\end{array}$$

Since 2 is less than 343, use the next digit 7 from dividend 2716 and add 0 to the quotient

$$\begin{array}{l}\phantom{343)}0\phantom{2}\\343\overline{)2716}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 2716

$$\begin{array}{l}\phantom{343)}0\phantom{3}\\343\overline{)2716}\\\end{array}$$

Since 27 is less than 343, use the next digit 1 from dividend 2716 and add 0 to the quotient

$$\begin{array}{l}\phantom{343)}00\phantom{4}\\343\overline{)2716}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 2716

$$\begin{array}{l}\phantom{343)}00\phantom{5}\\343\overline{)2716}\\\end{array}$$

Since 271 is less than 343, use the next digit 6 from dividend 2716 and add 0 to the quotient

$$\begin{array}{l}\phantom{343)}000\phantom{6}\\343\overline{)2716}\\\end{array}$$

Use the 4^{th} digit 6 from dividend 2716

$$\begin{array}{l}\phantom{343)}000\phantom{7}\\343\overline{)2716}\\\end{array}$$

Find closest multiple of 343 to 2716. We see that 7 \times 343 = 2401 is the nearest. Now subtract 2401 from 2716 to get reminder 315. Add 7 to quotient.

$$\begin{array}{l}\phantom{343)}0007\phantom{8}\\343\overline{)2716}\\\phantom{343)}\underline{\phantom{}2401\phantom{}}\\\phantom{343)9}315\\\end{array}$$

Since 315 is less than 343, stop the division. The reminder is 315. The topmost line 0007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }315$$

Factor

$$\frac{2 ^ {2} \cdot 97}{7 ^ {2}} = 7\frac{45}{49} = 7.918367346938775$$