I think Reverend you are looking at gravity in a Newtonian context.
Gravity is indeed simply proportional to the product of the masses when things are nice and mid range.
Of course as you doubtlessly know this simple view doesn't explain effects like the precession of the orbit of Mercury, gravitational lensing and time dilation on a gravitational field - we need to invoke Einstein for this and the maths gets more complex.
The infinities arise when you try to explain the action of gravity by the exchange of gravitons. Because the graviton has to be a spin 2 partical the renormalisation trick doesn't work and you can't use it to get good answers out the way you can in Quantum Electro Dynamics.
If you're interested in this stuff I can strongly recommend this book:
http://www.worldscibooks.com/physics/5088.html
Veltman won a nobel prize for the quantum behaviour of the electroweak force and the book starts off with the predictable " what is an atom stuff" and goes through the standard model, virtual particles the practical issues of accelerators ending up with all this stuff on perturbation theory, Feynmann diagrams and the Higgs.
It's technical but rarely mathematical so if you follow through it you can get a good grasp of what's going on without needing a degree in maths.
If you have a mathematical background you may be interested in
http://itunes.stanford.edu/
Stanford university have put on Itunes an enire course of lectures on quantum mechanics by Leonard Susskind the so called "father of string theory" It assumes some basic familiarity with concepts like complex numbers, vectors and matrices but is easily accessible if you've a good grasp of A level maths.