some recommend leaving the body for a while so the other animals know they have died and not been taken by a predator - if the body is whisked away too quickly then the others become stressed thinking they are under potential attack too.
Definitely true ... when we have lost cats, dogs, rabbits, Margo the goat, Murphy the pig and piglets - all have been left a short while, and the others have come up to sniff them.
Its very hard to describe without sounding sentimental or anthropromorphise BUT, it is as if they want to check them and say goodbye, all very calm and serene, even the lairy ones.
When Margo was taken away, Cesar & Geraldine both stood up to the fence to watch, and were very quiet (unusual for them!)
We have even had a cat sit with a paw on the burial site of the old dog, and where my in-laws' ashes are.
Usually the cats see upturned soil as a potential toilet... but not there!