You can access deliveries from the delivery list, via the Campaign Management > Deliveries node of the tree.
By default, the list of deliveries contains the names and statuses of the deliveries created in the selected node. It also shows the number of messages to send, processed and sent with success.
For large deliveries, you may wish to update these values. To do this, select the delivery in question and then right-click it. Select Action > Recompute delivery and tracking indicators… and then use the wizard to update this information.