The calculated distance (air line) between Stoke-on-Trent and Beckenham is approximately 143 miles respectively 230 kilometers.
By car or train, the actual journey to Beckenham is certainly longer, as only the direct route (as the crow flies) between Stoke-on-Trent and Beckenham has been calculated here.
Air line (approximately)
230 kilometers
124 nautical miles