For division problems, it is usually convenient to adjust the decimal points so the divisor is an integer. Then you make use of your knowledge of multiplication tables. Here, that means you know the answer right away.
[tex]\dfrac{0.27}{0.03}=\dfrac{27}{3}=\dfrac{3\cdot 9}{3}\\\\=\dfrac{3}{3}\cdot 9=\bf{9}[/tex]
Whether you simply reduce the fraction, or attack this using a long-division format, your first step is to divide 27 by 9. Your knowledge of math facts tells you the quotient is 9 in either case. Since 9×3 = 27, there is no remainder, and you are done.
