You don't have to carefully position anything. Just drag the files, hover them over the browser tab in the taskbar, wait for 2 seconds, and it will pop the browser into view. Then drop.
Also, I have Total Commander open at all times. Can't live without it (there are similar tools for Linux, Mac, etc).
Also, I have Total Commander open at all times. Can't live without it (there are similar tools for Linux, Mac, etc).