Don't leave it at home or work, even when the device is powered off. It needs to go back to Samsung.
Samsung is said to have suspended the production of the Galaxy Note 7, and is telling its resellers and telco partners to stop selling the devices, and not to swap out original smartphones for replacements.
There's zero chance of the Galaxy Note 7 model surviving this catastrophe and they're likely to drop in value like bricks which is another reason you want to return them, and get a refund.
Who'd want a $1500 device that might catch fire? Even if Samsung says your particular Note 7 is fine, good luck trying to convince other people that there is no chance of the pricey phone going up in flames.
Travelling with a Note 7, you're likely to get hassled at airports too. Trying to explain to airport security that your smartphone is safe and can come with you on the flight is not what anyone wants to do before take-off.
In fact, there's every chance that the 7 device will be the last in the Note product line.
Samsung could try to be staunch and release a Note 8, of course. That would "note" be such a good idea though, as the first thing Samsung would have to do is reassure that the new Note won't catch fire like its predecessor.
The Galaxy Note 7 fires have highlighted that while generally safe, the powerful lithium-ion batteries that are pretty much found everywhere nowadays can go wrong and in rare cases be dangerous.
No device vendor is immune, not even Apple. United States media reported two cases of iPhone 6 Plus devices catching fire, one while charging, the other while in a person's pocket.
I can tell you now that the first vendor that comes up with a viable replacement for lithium-ion batteries will have a colossal marketing advantage over other manufacturers.