Use common sense. It's always better to err on the side of safety. If you're unsure about an attachment, delete it. Especially if it's from a source you don't recognize. If there are tempting animations on a site that look highly unprofessional, don't download them.
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Scan floppies before using them. This is always important, but especially if you are using the disk to carry information between one computer and another. You could easily pick up a virus from an insecure network and introduce it into your system. Running a virus scan before launching any of the programs on the disk will prevent infection.
Don't share floppies. Even a well-meaning friend may unknowingly pass along a virus, Trojan horse, or worm. Label your floppies clearly so you know they're yours and don't loan them out. If a friend passes you a foreign floppy, suggest an alternative method of file sharing.
Don't boot from a floppy disk. Floppies are one of the most common ways viruses are transmitted. If you are using a floppy while working on your computer, remove it when you shut the machine off or the computer will automatically try to boot from the floppy, perhaps launching any viruses on the disk.