Solve 204div27

$$204 \div 27$$

Evaluate

$$\frac{68}{9}\approx 7.555555556$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 204

$$\begin{array}{l}\phantom{27)}\phantom{1}\\27\overline{)204}\\\end{array}$$

Since 2 is less than 27, use the next digit 0 from dividend 204 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}0\phantom{2}\\27\overline{)204}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 204

$$\begin{array}{l}\phantom{27)}0\phantom{3}\\27\overline{)204}\\\end{array}$$

Since 20 is less than 27, use the next digit 4 from dividend 204 and add 0 to the quotient

$$\begin{array}{l}\phantom{27)}00\phantom{4}\\27\overline{)204}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 204

$$\begin{array}{l}\phantom{27)}00\phantom{5}\\27\overline{)204}\\\end{array}$$

Find closest multiple of 27 to 204. We see that 7 \times 27 = 189 is the nearest. Now subtract 189 from 204 to get reminder 15. Add 7 to quotient.

$$\begin{array}{l}\phantom{27)}007\phantom{6}\\27\overline{)204}\\\phantom{27)}\underline{\phantom{}189\phantom{}}\\\phantom{27)9}15\\\end{array}$$

Since 15 is less than 27, stop the division. The reminder is 15. The topmost line 007 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 7.

$$\text{Quotient: }7 \text{Reminder: }15$$

Factor

$$\frac{2 ^ {2} \cdot 17}{3 ^ {2}} = 7\frac{5}{9} = 7.555555555555555$$