\[q = - \frac{5}{6};\ \ r = \frac{12}{18} = \frac{2}{3}:\]
\[18q - 6r = 18 \cdot \left( - \frac{5}{6} \right) - 6 \cdot \frac{2}{3} =\]
\[= - 3 \cdot 5 - 2 \cdot 2 = - 15 - 4 = - 19.\]