How do you dispose a dead pet?

When I first dog died, we had her buried in the backyard. We even had a sort of tomb for her. But after some months, we learned of a crematorium for pets which my wife called. We hired a person to unearth our dog which was (double) wrapped in transparent plastic. Her body was still intact. The crematorium staff picked up the cadaver and came back with a wooden box containing the ashes.

When our second dog died, we also had him cremated. Both wooden boxes are here in our living room.