Solve 38:11

$$38 : 11$$

Evaluate

$$\frac{38}{11}\approx 3.454545455$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)38}\\\end{array}$$

Since 3 is less than 11, use the next digit 8 from dividend 38 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)38}\\\end{array}$$

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

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)38}\\\end{array}$$

Find closest multiple of 11 to 38. We see that 3 \times 11 = 33 is the nearest. Now subtract 33 from 38 to get reminder 5. Add 3 to quotient.

$$\begin{array}{l}\phantom{11)}03\phantom{4}\\11\overline{)38}\\\phantom{11)}\underline{\phantom{}33\phantom{}}\\\phantom{11)9}5\\\end{array}$$

Since 5 is less than 11, stop the division. The reminder is 5. The topmost line 03 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }5$$

Factor

$$\frac{2 \cdot 19}{11} = 3\frac{5}{11} = 3.4545454545454546$$