Solve 71div28

$$71 \div 28$$

Evaluate

$$\frac{71}{28}\approx 2.535714286$$

Steps For Long Division Method

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

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)71}\\\end{array}$$

Since 7 is less than 28, use the next digit 1 from dividend 71 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)71}\\\end{array}$$

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

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)71}\\\end{array}$$

Find closest multiple of 28 to 71. We see that 2 \times 28 = 56 is the nearest. Now subtract 56 from 71 to get reminder 15. Add 2 to quotient.

$$\begin{array}{l}\phantom{28)}02\phantom{4}\\28\overline{)71}\\\phantom{28)}\underline{\phantom{}56\phantom{}}\\\phantom{28)}15\\\end{array}$$

Since 15 is less than 28, stop the division. The reminder is 15. The topmost line 02 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }15$$

Factor

$$\frac{71}{2 ^ {2} \cdot 7} = 2\frac{15}{28} = 2.5357142857142856$$