The calculated distance (air line) between Zürich (Kreis 4) / Langstrasse and Schaffhausen is approximately 23 miles respectively 36 kilometers.
By car or train, the actual journey to Schaffhausen is certainly longer, as only the direct route (as the crow flies) between Zürich (Kreis 4) / Langstrasse and Schaffhausen has been calculated here.
Air line (approximately)
36 kilometers
20 nautical miles