Solve 788:322

$$788 : 322$$

Evaluate

$$\frac{394}{161}\approx 2.447204969$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 788

$$\begin{array}{l}\phantom{322)}\phantom{1}\\322\overline{)788}\\\end{array}$$

Since 7 is less than 322, use the next digit 8 from dividend 788 and add 0 to the quotient

$$\begin{array}{l}\phantom{322)}0\phantom{2}\\322\overline{)788}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 788

$$\begin{array}{l}\phantom{322)}0\phantom{3}\\322\overline{)788}\\\end{array}$$

Since 78 is less than 322, use the next digit 8 from dividend 788 and add 0 to the quotient

$$\begin{array}{l}\phantom{322)}00\phantom{4}\\322\overline{)788}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 788

$$\begin{array}{l}\phantom{322)}00\phantom{5}\\322\overline{)788}\\\end{array}$$

Find closest multiple of 322 to 788. We see that 2 \times 322 = 644 is the nearest. Now subtract 644 from 788 to get reminder 144. Add 2 to quotient.

$$\begin{array}{l}\phantom{322)}002\phantom{6}\\322\overline{)788}\\\phantom{322)}\underline{\phantom{}644\phantom{}}\\\phantom{322)}144\\\end{array}$$

Since 144 is less than 322, stop the division. The reminder is 144. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }144$$

Factor

$$\frac{2 \cdot 197}{7 \cdot 23} = 2\frac{72}{161} = 2.4472049689440993$$