From the definition, it says that Let and . An integer such that is an Inverse of

From how I interpret it, it is...

Remainder of

Inverse of , where . Is this right?

So if I have , The normal . Inverse

Then it says that , does it mean and so when , the remainder is 1? But it doesn't look like it.

I am very confused with the notation and how this whole inverse of modulus work.