Solve 71/41

$$\frac{ 71 }{ 41 }$$

Evaluate

$$\frac{71}{41}\approx 1.731707317$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 71

$$\begin{array}{l}\phantom{41)}\phantom{1}\\41\overline{)71}\\\end{array}$$

Since 7 is less than 41, use the next digit 1 from dividend 71 and add 0 to the quotient

$$\begin{array}{l}\phantom{41)}0\phantom{2}\\41\overline{)71}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 71

$$\begin{array}{l}\phantom{41)}0\phantom{3}\\41\overline{)71}\\\end{array}$$

Find closest multiple of 41 to 71. We see that 1 \times 41 = 41 is the nearest. Now subtract 41 from 71 to get reminder 30. Add 1 to quotient.

$$\begin{array}{l}\phantom{41)}01\phantom{4}\\41\overline{)71}\\\phantom{41)}\underline{\phantom{}41\phantom{}}\\\phantom{41)}30\\\end{array}$$

Since 30 is less than 41, stop the division. The reminder is 30. The topmost line 01 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }30$$

Factor

$$\frac{71}{41} = 1\frac{30}{41} = 1.7317073170731707$$