Solve 704/234

$$\frac { 704 } { 234 }$$

Evaluate

$$\frac{352}{117}\approx 3.008547009$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 704

$$\begin{array}{l}\phantom{234)}\phantom{1}\\234\overline{)704}\\\end{array}$$

Since 7 is less than 234, use the next digit 0 from dividend 704 and add 0 to the quotient

$$\begin{array}{l}\phantom{234)}0\phantom{2}\\234\overline{)704}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 704

$$\begin{array}{l}\phantom{234)}0\phantom{3}\\234\overline{)704}\\\end{array}$$

Since 70 is less than 234, use the next digit 4 from dividend 704 and add 0 to the quotient

$$\begin{array}{l}\phantom{234)}00\phantom{4}\\234\overline{)704}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 704

$$\begin{array}{l}\phantom{234)}00\phantom{5}\\234\overline{)704}\\\end{array}$$

Find closest multiple of 234 to 704. We see that 3 \times 234 = 702 is the nearest. Now subtract 702 from 704 to get reminder 2. Add 3 to quotient.

$$\begin{array}{l}\phantom{234)}003\phantom{6}\\234\overline{)704}\\\phantom{234)}\underline{\phantom{}702\phantom{}}\\\phantom{234)99}2\\\end{array}$$

Since 2 is less than 234, stop the division. The reminder is 2. The topmost line 003 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }2$$

Factor

$$\frac{2 ^ {5} \cdot 11}{3 ^ {2} \cdot 13} = 3\frac{1}{117} = 3.0085470085470085$$