After deleting the default mailbox database (here mailbox database 0331799958); some event logs started to appear that consider the Database to still existing.
Event 1006: MSExchange Mailbox Replication
can be solved by restarting the Microsoft Active Directory Topology service (i.e. Microsoft Exchange Replication – Microsoft Exchange Information Store)
Event 1006: MSExchangeDiagnostics
can be solved by restarting the Microsoft Exchange Diagnostics service ( Note: not part of the services that will restart with the Microsoft Active Directory Topology service restart ).