Solve 85div27

$$85 \div 27$$

Evaluate

$$\frac{85}{27}\approx 3.148148148$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 85

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)85}\\\end{array}$$

Since 8 is less than 27, use the next digit 5 from dividend 85 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)85}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 85

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)85}\\\end{array}$$

Find closest multiple of 27 to 85. We see that 3 \times 27 = 81 is the nearest. Now subtract 81 from 85 to get reminder 4. Add 3 to quotient.

$$\begin{array}{l}\phantom{27)}03\phantom{4}\\27\overline{)85}\\\phantom{27)}\underline{\phantom{}81\phantom{}}\\\phantom{27)9}4\\\end{array}$$

Since 4 is less than 27, stop the division. The reminder is 4. The topmost line 03 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3.

$$\text{Quotient: }3 \text{Reminder: }4$$

Factor

$$\frac{5 \cdot 17}{3 ^ {3}} = 3\frac{4}{27} = 3.1481481481481484$$