Question

How does a tooth get fixed in the socket of gum ?

Answer 1

because tooth has roots to set up the teeth

Answer 2

As far as seeing changes, during the first 24 hours after your surgery you really won't be able to visualize all that much in terms of actual extraction site healing.

Tooth sockets immediately after the extraction process.

Blood clots have begun to form.

You should, however, notice that:

The bleeding from your wound has stopped and a clot has filled in the empty socket. The level of discomfort associated with your wound has slowly started to subside.

Additionally ...

You'll probably find that the region immediately adjacent to the tooth's empty socket is tender when touched and feels irregular and different to your tongue.
It's also possible (especially in the case of a relatively involved or difficult extraction) that you'll find some degree of swelling has formed, both in the tissues that surround your extraction site and possibly your face too.
If so, this swelling should peak within the first 24 hours and then start to subside. What's taking place with the gum tissue around your extraction site at this point?

While you'll notice nothing, the reattachment and new growth of gum tissue begins at the edges of your wound as early as 12 hours post-extraction.

What's going on inside your tooth's socket?

At just 24 hours after your extraction, the focus of the activity inside your socket revolves around the blood clot that's formed.

The clot itself is composed of platelets (sticky cell fragments that initiated the clot's formation) and red and white blood cells, all embedded together in a fibrin gel. (It's the fibrin gel that gives the clot its semi-solid consistency.)

Starting at this point and continuing on during the days that follow, platelets in the clot and other types of cells attracted to it begin to produce chemical factors and mediators that initiate and promote the healing process.