[jQuery] getElementById with ajax

This will be my first application with using jQuery library, so I
might not make sense. I will try to explain what I want to do as
simple as possible.

I have two web pages, index.asp, ship.asp.

index.asp: I have a form with ReceiverPostalCode and ReceiverCountry
inputs.
ship.asp: this is where I submit form inputs from index.asp to receive
shipping quotes.

For example, I get quotes at
ship.asp?ShippingPostalCode=02116&ShippingCountry=US

When customer enters ReceiverPostalCode and ReceiverCountry on
index.asp, I want quotes immediately appear in index.asp. How do I do
this basing my codes on jQuery?