Remote Connection to SQL-Server for data extract
As @FutbolFan said, best approach is to use SSIS (which takes a bit more time) or SQL Server Import/Export Wizard (the feasible option, in your case).


Right Click on the Database in question ans Select Tasks -> Export Data (the wizard will open up)
Select The Database in question as your source (might have to switch between SQL 10.0 or 11.0 depending on your version.
Select Flat File as your destination.  You'll be able to customize your delimiters and text qualifiers here
Select the Object you want to export.  You can do this by using the Object selector, or by using a custom query.  Up to you.
Run the package for each table you want to export, verify your results.