Solve 684/440

$$\frac { 684 } { 440 }$$

Evaluate

$$\frac{171}{110}\approx 1.554545455$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 684

$$\begin{array}{l}\phantom{440)}\phantom{1}\\440\overline{)684}\\\end{array}$$

Since 6 is less than 440, use the next digit 8 from dividend 684 and add 0 to the quotient

$$\begin{array}{l}\phantom{440)}0\phantom{2}\\440\overline{)684}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 684

$$\begin{array}{l}\phantom{440)}0\phantom{3}\\440\overline{)684}\\\end{array}$$

Since 68 is less than 440, use the next digit 4 from dividend 684 and add 0 to the quotient

$$\begin{array}{l}\phantom{440)}00\phantom{4}\\440\overline{)684}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 684

$$\begin{array}{l}\phantom{440)}00\phantom{5}\\440\overline{)684}\\\end{array}$$

Find closest multiple of 440 to 684. We see that 1 \times 440 = 440 is the nearest. Now subtract 440 from 684 to get reminder 244. Add 1 to quotient.

$$\begin{array}{l}\phantom{440)}001\phantom{6}\\440\overline{)684}\\\phantom{440)}\underline{\phantom{}440\phantom{}}\\\phantom{440)}244\\\end{array}$$

Since 244 is less than 440, stop the division. The reminder is 244. The topmost line 001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }244$$

Factor

$$\frac{3 ^ {2} \cdot 19}{2 \cdot 5 \cdot 11} = 1\frac{61}{110} = 1.5545454545454545$$