Here is another great file sharing site called justbeamit.
Drag and drop a file, < 2GB in size, into the drop zone (box with highlighted border). A link will show that you can send to share the file, and you should see the message "waiting for recipient..."
Once your recipient starts downloading the file, the progress will start moving. Do NOT close the page at any point until the transfer is complete, as this will stop the transfer. JustBeamIt relies on you keeping your window open in order to transfer the file.
Just dragn n' drop then share the URL. How easy is that?