\[\boxed{\text{4.\ 333}}\]
\[\textbf{а)}\frac{6}{11}\ :\left( - 1\frac{4}{11} \right) = - \frac{6}{11}\ :\frac{15}{11} =\]
\[= - \frac{6}{11} \cdot \frac{11}{15} = - \frac{2}{5} = - 0,4\]
\[\textbf{б)} - 1\frac{2}{9}\ :3\frac{2}{3} = - \frac{11}{9}\ :\frac{11}{3} =\]
\[= - \frac{11}{9} \cdot \frac{3}{11} = - \frac{1}{3}\]
\[\textbf{в)} - 1\frac{1}{6}\ :\left( - \frac{1}{2} \right) = \frac{7}{6} \cdot 2 = \frac{7}{3} = 2\frac{1}{3}\]
\[\textbf{г)} - 0,18\ :\left( - 2\frac{2}{5} \right) = 0,18\ :2,4 =\]
\[= 18\ :240 = \frac{18}{240} = \frac{3}{40}\]
\[\textbf{д)}\ 0,1\ :\left( - \frac{1}{23} \right) = 0,1 \cdot ( - 23) =\]
\[= - 2,3\]
\[\textbf{е)} - \frac{3}{7}\ :2,4 = - \frac{3}{7}\ :\frac{24}{10} =\]
\[= - \frac{3}{7} \cdot \frac{5}{12} = - \frac{5}{28}\]