Hi! And a warm welcome to you.
I'm not sure I get your point. Travel at the speed of light _is_ travel at the speed of light, i.e. some 360,000 kilometers per second. Strange things happen at this speed, yes, like the conversion of matter into energy - which is why only energy travels at the speed of light (photons, for example). Instant travel would mean _faster than light_ travel, which would be impossible for any object that travels at a rate lower than the speed of light. That would be teleportation...which we recently discussed here.
Division by 0 does not get you an infinity, it gives you an error. Any calculation which gives you an infinity is probably not the best way to try to understand the Universe.
If what you say is true, however, then the light which comes from the Big Bang has never experienced any "time" in our sense of the word (ie, slow, forward motion of time). The light particles/waves would be much, much younger than the current age of the Universe.
But in fact, we observe light to be moving through space at a fixed speed, so it cannot be travelling instantly. Sorry...but feel free to show me that I'm wrong.
Tormod