Find the quotient and express as a simplified rational expression:

$\displaystyle\frac{{{x}+{3}}}{{{x}}^{{2}}}\div\frac{{{3}{x}{\left({x}+{3}\right)}}}{{{9}{x}}}\usepackage{cmbright}\Huge\$ , $\displaystyle{x}\ne{0}\usepackage{cmbright}\Huge\$ , -3