Solve 208div27

$$208 \div 27$$

Evaluate

$$\frac{208}{27}\approx 7.703703704$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 208

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)208}\\\end{array}$$

Since 2 is less than 27, use the next digit 0 from dividend 208 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)208}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 208

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)208}\\\end{array}$$

Since 20 is less than 27, use the next digit 8 from dividend 208 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}00\phantom{4}\\27\overline{)208}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 208

$$\begin{array}{l}\phantom{27)}00\phantom{5}\\27\overline{)208}\\\end{array}$$

Find closest multiple of 27 to 208. We see that 7 \times 27 = 189 is the nearest. Now subtract 189 from 208 to get reminder 19. Add 7 to quotient.

$$\begin{array}{l}\phantom{27)}007\phantom{6}\\27\overline{)208}\\\phantom{27)}\underline{\phantom{}189\phantom{}}\\\phantom{27)9}19\\\end{array}$$

Since 19 is less than 27, stop the division. The reminder is 19. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }19$$

Factor

$$\frac{2 ^ {4} \cdot 13}{3 ^ {3}} = 7\frac{19}{27} = 7.703703703703703$$