The expanding universe popular analogy is that the galaxies and galaxy clusters are like raisins in
raisin bread dough which is baking/rising/expanding. How far that analogy
holds true is anybody's guess but in response to your question, what we are able to measure of the universe so far indicates that it was pretty
accurate at the time of the big bang.
The universe was so homogeneous right after the big bang (like well blended raisin bread dough with the raisins evenly distributed), that's why
"inflation theory" was invented, to explain how it can be so homogeneous.
So unless you have a big void in your raisin bread, there probably was no void where the big bang occurred. Instead we have lots of little voids (
the spaces between galaxies, like the yeast-induced air spaces in bread), since the whole thing is expanding.

