Solve 638div234

$$638 \div 234$$

Evaluate

$$\frac{319}{117}\approx 2.726495726$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 638

$$\begin{array}{l}\phantom{234)}\phantom{1}\\234\overline{)638}\\\end{array}$$

Since 6 is less than 234, use the next digit 3 from dividend 638 and add 0 to the quotient

$$\begin{array}{l}\phantom{234)}0\phantom{2}\\234\overline{)638}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 638

$$\begin{array}{l}\phantom{234)}0\phantom{3}\\234\overline{)638}\\\end{array}$$

Since 63 is less than 234, use the next digit 8 from dividend 638 and add 0 to the quotient

$$\begin{array}{l}\phantom{234)}00\phantom{4}\\234\overline{)638}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 638

$$\begin{array}{l}\phantom{234)}00\phantom{5}\\234\overline{)638}\\\end{array}$$

Find closest multiple of 234 to 638. We see that 2 \times 234 = 468 is the nearest. Now subtract 468 from 638 to get reminder 170. Add 2 to quotient.

$$\begin{array}{l}\phantom{234)}002\phantom{6}\\234\overline{)638}\\\phantom{234)}\underline{\phantom{}468\phantom{}}\\\phantom{234)}170\\\end{array}$$

Since 170 is less than 234, stop the division. The reminder is 170. The topmost line 002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }170$$

Factor

$$\frac{11 \cdot 29}{3 ^ {2} \cdot 13} = 2\frac{85}{117} = 2.7264957264957266$$