Oracle is not my area of expertise, so I may be wrong, but if I remember rightly, Oracle doesn't consider the word database
to mean quite the same thing as other RDBMS products such as SQL Server or MySQL.
With respect to Oracle Database the term database is used to refer to an instance of the actual database engine, not to a group of related objects (tables etc) as the aforementioned other products do.
I believe the relationship between objects is called a schema
in Oracle terms. In other words one single instance of the database (engine) can provide for many schemas (groups of related objects).
For example, imagine you have an instance of MySQL running that has two MySQL databases called Orders and Accounting, Under Oracle these would be represented as the "Orders" schema and the "Accounting" schema, both of which would be managed by a single database instance called "XE"
As stated above, Oracle is not my forte, so it would be wise to confirm what I have stated with the Oracle documentation which is also better placed than I am to advise on the specifics of using schemas