The best way to send files to your remote hosting server is through an FTP client.
A good one to download and install on your computer is Filezilla
, (available for free for both Windows and Mac).
You would then need to login to the C-panel of your hosting to obtain the FTP details in order to connect. (In the C-Panel FTP admin section, you also have the option of downloading a FTP configuration file that you can export into Filezilla. This file has all the connection details for the software).
Once you have connected your computer to the server via your chosen FTP client, you can begin uploading your files via simple drag and drop.