The calculated distance (air line) between Ad Dīwānīyah and Al Kūt is approximately 63 miles respectively 102 kilometers.
By car or train, the actual journey to Al Kūt is certainly longer, as only the direct route (as the crow flies) between Ad Dīwānīyah and Al Kūt has been calculated here.
Air line (approximately)
102 kilometers
55 nautical miles