first , please give in your Problem description the versions of DB, Product, OS .
I think in the same Directory where the SQL developerexe located, is a sqlplus.
Can you start this?
additional there is an own community for SQL developer
C:\oracle\product\184.108.40.206\bin\ocijdbc11.dll: Can't find dependent libraries
Do you have Oracle database installed? Do you know that SQL Developer is included when you install Oracle Database? Are you executing SQL Developer that is included in the initial database installation, or are you trying to execute another SQL developer installation. In case of the later, you may have to adjust the library path accordingly.
Please install oracle client...
however when I check locally the ocijdbc11.dll is in the correct folder directory. How do I overcome this error?
Use the basic connection - it doesn't need or use an Oracle client.
Or (if you really need to use JDBC OCI/Thick connections) you must correctly configure
Tools > Preferences > Database > Advanced > Use Oracle Client and Use OCI/Thick driver
Be especially careful to verify there are no failures generated by the Test button in Use Oracle Client
You don't say which SQL Developer release you are using, but be aware that the Oracle client ocijdbc dll version should match the ojdbc jar version which ships with SQL Developer for best results...
SQL Developer OJDBC