Solve 799:351

$$799 : 351$$

Evaluate

$$\frac{799}{351}\approx 2.276353276$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 799

$$\begin{array}{l}\phantom{351)}\phantom{1}\\351\overline{)799}\\\end{array}$$

Since 7 is less than 351, use the next digit 9 from dividend 799 and add 0 to the quotient

$$\begin{array}{l}\phantom{351)}0\phantom{2}\\351\overline{)799}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 799

$$\begin{array}{l}\phantom{351)}0\phantom{3}\\351\overline{)799}\\\end{array}$$

Since 79 is less than 351, use the next digit 9 from dividend 799 and add 0 to the quotient

$$\begin{array}{l}\phantom{351)}00\phantom{4}\\351\overline{)799}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 799

$$\begin{array}{l}\phantom{351)}00\phantom{5}\\351\overline{)799}\\\end{array}$$

Find closest multiple of 351 to 799. We see that 2 \times 351 = 702 is the nearest. Now subtract 702 from 799 to get reminder 97. Add 2 to quotient.

$$\begin{array}{l}\phantom{351)}002\phantom{6}\\351\overline{)799}\\\phantom{351)}\underline{\phantom{}702\phantom{}}\\\phantom{351)9}97\\\end{array}$$

Since 97 is less than 351, stop the division. The reminder is 97. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }97$$

Factor

$$\frac{17 \cdot 47}{3 ^ {3} \cdot 13} = 2\frac{97}{351} = 2.2763532763532766$$