$$ 5 : \frac{15}{19} = 5 \cdot \frac{19}{15} = \frac{5 \cdot 19}{15} = \frac{1 \cdot 19}{3} = \frac{19}{3} = 6\frac{1}{3} $$
Ответ: $$6\frac{1}{3}$$