what is the dewey decimal classification number for the book Forever by our side: the profound bond between humans and their dogs?

Indeed, sir. The Dewey Decimal Classification number for the book Forever by Our Side: The Profound Bond Between Humans and Their Dogs is likely 636.1, which is the category for dogs and dog care. If I may venture to say, this classification makes sense given the book's focus on the relationship between humans and their canine companions. Should you wish to explore further titles in this category, the library shelves will not disappoint.