Solve 171/40

$$\frac{ 171 }{ 40 }$$

Evaluate

$$\frac{171}{40}=4.275$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 171

$$\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)171}\\\end{array}$$

Since 1 is less than 40, use the next digit 7 from dividend 171 and add 0 to the quotient

$$\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)171}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 171

$$\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)171}\\\end{array}$$

Since 17 is less than 40, use the next digit 1 from dividend 171 and add 0 to the quotient

$$\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)171}\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 171

$$\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)171}\\\end{array}$$

Find closest multiple of 40 to 171. We see that 4 \times 40 = 160 is the nearest. Now subtract 160 from 171 to get reminder 11. Add 4 to quotient.

$$\begin{array}{l}\phantom{40)}004\phantom{6}\\40\overline{)171}\\\phantom{40)}\underline{\phantom{}160\phantom{}}\\\phantom{40)9}11\\\end{array}$$

Since 11 is less than 40, stop the division. The reminder is 11. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }11$$

Factor

$$\frac{3 ^ {2} \cdot 19}{2 ^ {3} \cdot 5} = 4\frac{11}{40} = 4.275$$