Solve 7880/2951

$$\frac { 7880 } { 2951 }$$

Evaluate

$$\frac{7880}{2951}\approx 2.670281261$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7880

$$\begin{array}{l}\phantom{2951)}\phantom{1}\\2951\overline{)7880}\\\end{array}$$

Since 7 is less than 2951, use the next digit 8 from dividend 7880 and add 0 to the quotient

$$\begin{array}{l}\phantom{2951)}0\phantom{2}\\2951\overline{)7880}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 7880

$$\begin{array}{l}\phantom{2951)}0\phantom{3}\\2951\overline{)7880}\\\end{array}$$

Since 78 is less than 2951, use the next digit 8 from dividend 7880 and add 0 to the quotient

$$\begin{array}{l}\phantom{2951)}00\phantom{4}\\2951\overline{)7880}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 7880

$$\begin{array}{l}\phantom{2951)}00\phantom{5}\\2951\overline{)7880}\\\end{array}$$

Since 788 is less than 2951, use the next digit 0 from dividend 7880 and add 0 to the quotient

$$\begin{array}{l}\phantom{2951)}000\phantom{6}\\2951\overline{)7880}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 7880

$$\begin{array}{l}\phantom{2951)}000\phantom{7}\\2951\overline{)7880}\\\end{array}$$

Find closest multiple of 2951 to 7880. We see that 2 \times 2951 = 5902 is the nearest. Now subtract 5902 from 7880 to get reminder 1978. Add 2 to quotient.

$$\begin{array}{l}\phantom{2951)}0002\phantom{8}\\2951\overline{)7880}\\\phantom{2951)}\underline{\phantom{}5902\phantom{}}\\\phantom{2951)}1978\\\end{array}$$

Since 1978 is less than 2951, stop the division. The reminder is 1978. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }1978$$

Factor

$$\frac{2 ^ {3} \cdot 5 \cdot 197}{13 \cdot 227} = 2\frac{1978}{2951} = 2.6702812605896304$$