This is Kate's jacket. = This jacket belongs to Kate.
That's our neighbors' dog. = That dog belongs to our neighbors.
Belong with means that things/people are similar and should be together. If one person in a romantic relationship says "You belong with me," it is like saying that it is destiny for the two people to be together.
You can also use belong with or belong in for putting an object into a category with other, similar objects:
That book about humans traveling to Mars doesn't belong in the history section. It belongs with the other science fiction books.
An object belongs IN a category, and belongs WITH other similar things.
If you love your history and that of Indian civilization as well Hampi offers a great selection. Set between mountains and rivers, it provides remote and romantic ambience for newlyweds. Visit the famous Virupaksha temple and the monolith 6.7m tall statue of Lord Narasimha. The gorgeous centuriesold temples have a tendency to set you back in time a romance of the ages, youre thinking? On the other hand, there is the Daroji Sloth Bear Sanctuary, 15 km from Hampi, for those interested in a little bit of wildlife and for great adventures together.