Ah, You'll note in my answer I mentioned the Soil Stack. This is the upright part of the drain above ground level. If you are connecting below ground level, things are a bit diferent.
You will have to put a new soil stack in place. This is basically just a length of 110mm pipe running up the side of your house. The top of this will have to continue right up to (and through) the roofline, where you will put a terminal on it. You MAY be able to reduce this length if you terminate it with an Air Admittance Valve. (your bco will advise). Your new toilet waste will then be connected into this new soil stack.
Below ground, where your new stack joins the drain, a new access chamber (man hole) will have to be introduced. Nowadays, this also is not too difficult as you can get preformed plastic chambers to do the job.
All in all it's not such a straight forward job after all. The depth of the drain pipes in the ground could be anywhere betwee 2 - 8 ft. If you look into an existing manhole on the same system, you will be able to tell. The whole job would be far easier if you can plumb into the existing soil stack, above ground level.
Nowadays,this type of work does require you to involve your local BCO.