Solve 59/40

$$\frac{ 59 }{ 40 }$$

Evaluate

$$\frac{59}{40}=1.475$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 59

$$\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)59}\\\end{array}$$

Since 5 is less than 40, use the next digit 9 from dividend 59 and add 0 to the quotient

$$\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)59}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 59

$$\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)59}\\\end{array}$$

Find closest multiple of 40 to 59. We see that 1 \times 40 = 40 is the nearest. Now subtract 40 from 59 to get reminder 19. Add 1 to quotient.

$$\begin{array}{l}\phantom{40)}01\phantom{4}\\40\overline{)59}\\\phantom{40)}\underline{\phantom{}40\phantom{}}\\\phantom{40)}19\\\end{array}$$

Since 19 is less than 40, stop the division. The reminder is 19. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }19$$

Factor

$$\frac{59}{2 ^ {3} \cdot 5} = 1\frac{19}{40} = 1.475$$