The calculated distance (air line) between Mehun-sur-Yèvre and Besançon is approximately 179 miles respectively 288 kilometers.
By car or train, the actual journey to Besançon is certainly longer, as only the direct route (as the crow flies) between Mehun-sur-Yèvre and Besançon has been calculated here.
Air line (approximately)
288 kilometers
155 nautical miles