Solve 38:14

$$38 : 14$$

Evaluate

$$\frac{19}{7}\approx 2.714285714$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 38

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)38}\\\end{array}$$

Since 3 is less than 14, use the next digit 8 from dividend 38 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)38}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 38

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)38}\\\end{array}$$

Find closest multiple of 14 to 38. We see that 2 \times 14 = 28 is the nearest. Now subtract 28 from 38 to get reminder 10. Add 2 to quotient.

$$\begin{array}{l}\phantom{14)}02\phantom{4}\\14\overline{)38}\\\phantom{14)}\underline{\phantom{}28\phantom{}}\\\phantom{14)}10\\\end{array}$$

Since 10 is less than 14, stop the division. The reminder is 10. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }10$$

Factor

$$\frac{19}{7} = 2\frac{5}{7} = 2.7142857142857144$$