Make sure that editing is turned on by clicking the Edit mode toggle in the upper right corner of your course page.  

Once you are in editing mode, simply click and drag the file from your computer to the desired location in your Moodle course. You can upload single or multiple files using this method.

1. Hover to the right of the file name so that the crosshairs icon appears
2. Then click and drag, to move the file to a new location within the course.

1. To change the name displayed for the file click on the pencil icon to the right of the file.  
2. Type the desired name in the textbox and hit enter on your keyboard to save this change.