How to stop view cutting half-way of object/wall like this (image included)

[slbaumgartner]

It is clipping. Usually caused by having a very large model or having it located far from the origin, or sometimes by having parts of the model that are off screen but closer to the camera than the part you are trying to zoom. The latter can often be fixed by setting a narrower field of view, sort of like choosing a telephoto lens and stepping back.