What should I do with my pet after it dies? Are there any religious guidelines for dealing with it? What is the ruling on reciting the Qur'an over it and grieving for it?

There is no specific religious text regarding the burial of dead animals, and the matter is broad. It is preferable to bury them so that no one is harmed by them. As for offering a dead animal for another animal to eat, there is no harm in it, provided that the meat of the eaten animal does not change. Reciting the Qur'an for dead animals is not prescribed, as they are not accountable, and there is no meaning in doing so. Grieving and weeping over the death of an animal is not blameworthy, as long as it does not reach the point of discontent.