Solve 69/40

$$\frac{ 69 }{ 40 }$$

Evaluate

$$\frac{69}{40}=1.725$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 69

$$\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)69}\\\end{array}$$

Since 6 is less than 40, use the next digit 9 from dividend 69 and add 0 to the quotient

$$\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)69}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 69

$$\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)69}\\\end{array}$$

Find closest multiple of 40 to 69. We see that 1 \times 40 = 40 is the nearest. Now subtract 40 from 69 to get reminder 29. Add 1 to quotient.

$$\begin{array}{l}\phantom{40)}01\phantom{4}\\40\overline{)69}\\\phantom{40)}\underline{\phantom{}40\phantom{}}\\\phantom{40)}29\\\end{array}$$

Since 29 is less than 40, stop the division. The reminder is 29. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }29$$

Factor

$$\frac{3 \cdot 23}{2 ^ {3} \cdot 5} = 1\frac{29}{40} = 1.725$$