Ответ:

\[ \frac{17}{33} \div \frac{11}{34} = \frac{17}{33} \cdot \frac{34}{11} = \frac{17 \cdot 34}{33 \cdot 11} = \frac{578}{363} = 1\frac{215}{363} \]

Ответ: \(1\frac{215}{363}\)