Cobain, if you are interested in comparing light travel times with the actual distance to the object now versus when it emitted the light, then click on this:
http://www.einsteins-theory-of-relativity-4engineers.com/LightCone7/LightCone.html
You can make the table bigger by increasing the number of steps. As it shows up at first it has only about 10 steps or 10 rows.
For example one row says
0.097 ...10.291 ...0.5223... 0.7851 ...30.918 ...3.004 ...
That means in year 522 million, when the galaxy was 3.004 billion LY from here, it sent us some light, traveling at the usual speed.
And it is now year 13.787 billion (that is, around 13.2 billion years later) and the light arrives! And the galaxy is now over 10 times farther from us. Its present distance is 30.918 billion LY. That is because distances expand while light is making its journey, on its way to us.
One reason we like the calculator and use it a lot (or use other calculators like it) is because there is no simple relation between the light travel time and the distances to the thing (now or back then when it emitted the light we are now getting from it.)
In the example the present is year 13.787 billion and the light was emitted in year 0.522 billion so the travel time is 13.787 - .522 = 13.265 billion years.
This travel time has no simple relation to the distances (now 30.9 billion LY and then 3.004 billion LY) because the rate of distance expansion is changing over time
according to the basic equation of cosmology.