How is the back up file transfererd to remote storeage

Scenario
I create a backup and the file is set to be located onto the remote storage e.g. dropbox
Assumption
I assume the file is transferred to dropbox from my server?

Question 1
Would the transferring of the file then become a part of my monthly hosting data quota?

Question 2
Can you communicate if there are any other data transfers associated with backing up that will be part of my server monthly data quota?

Thanks