Solve 138div27

$$138 \div 27$$

Evaluate

$$\frac{46}{9}\approx 5.111111111$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 138

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)138}\\\end{array}$$

Since 1 is less than 27, use the next digit 3 from dividend 138 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)138}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 138

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)138}\\\end{array}$$

Since 13 is less than 27, use the next digit 8 from dividend 138 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}00\phantom{4}\\27\overline{)138}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 138

$$\begin{array}{l}\phantom{27)}00\phantom{5}\\27\overline{)138}\\\end{array}$$

Find closest multiple of 27 to 138. We see that 5 \times 27 = 135 is the nearest. Now subtract 135 from 138 to get reminder 3. Add 5 to quotient.

$$\begin{array}{l}\phantom{27)}005\phantom{6}\\27\overline{)138}\\\phantom{27)}\underline{\phantom{}135\phantom{}}\\\phantom{27)99}3\\\end{array}$$

Since 3 is less than 27, stop the division. The reminder is 3. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

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

Factor

$$\frac{2 \cdot 23}{3 ^ {2}} = 5\frac{1}{9} = 5.111111111111111$$