Very powerful. We had a dog that had to be put down. I left her on the deck so that my other dog could see her. She walked up sniffed her, put her paw on her in a respectful manor. Then she walked to the grave of our other dog and pawed the dirt.... Which is where we buried her! Some times she still goes and stands there in remembrance.
Oh and when I was digging the hole she walked over to the body and pawed it and walked over to the grave very reverent.