Solve 70/26

$$\frac { 70 } { 26 }$$

Evaluate

$$\frac{35}{13}\approx 2.692307692$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 70

$$\begin{array}{l}\phantom{26)}\phantom{1}\\26\overline{)70}\\\end{array}$$

Since 7 is less than 26, use the next digit 0 from dividend 70 and add 0 to the quotient

$$\begin{array}{l}\phantom{26)}0\phantom{2}\\26\overline{)70}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 70

$$\begin{array}{l}\phantom{26)}0\phantom{3}\\26\overline{)70}\\\end{array}$$

Find closest multiple of 26 to 70. We see that 2 \times 26 = 52 is the nearest. Now subtract 52 from 70 to get reminder 18. Add 2 to quotient.

$$\begin{array}{l}\phantom{26)}02\phantom{4}\\26\overline{)70}\\\phantom{26)}\underline{\phantom{}52\phantom{}}\\\phantom{26)}18\\\end{array}$$

Since 18 is less than 26, stop the division. The reminder is 18. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }18$$

Factor

$$\frac{5 \cdot 7}{13} = 2\frac{9}{13} = 2.6923076923076925$$