Solve 138div26

$$138 \div 26$$

Evaluate

$$\frac{69}{13}\approx 5.307692308$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)138}\\\end{array}$$

Since 1 is less than 26, use the next digit 3 from dividend 138 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)138}\\\end{array}$$

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

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)138}\\\end{array}$$

Since 13 is less than 26, use the next digit 8 from dividend 138 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}00\phantom{4}\\26\overline{)138}\\\end{array}$$

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

$$\begin{array}{l}\phantom{26)}00\phantom{5}\\26\overline{)138}\\\end{array}$$

Find closest multiple of 26 to 138. We see that 5 \times 26 = 130 is the nearest. Now subtract 130 from 138 to get reminder 8. Add 5 to quotient.

$$\begin{array}{l}\phantom{26)}005\phantom{6}\\26\overline{)138}\\\phantom{26)}\underline{\phantom{}130\phantom{}}\\\phantom{26)99}8\\\end{array}$$

Since 8 is less than 26, stop the division. The reminder is 8. The topmost line 005 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 5.

$$\text{Quotient: }5 \text{Reminder: }8$$

Factor

$$\frac{3 \cdot 23}{13} = 5\frac{4}{13} = 5.3076923076923075$$