to fill something up, so that it lacks nothing: a space with what occupies it, or a person with a quality that takes them over
The plainest sense is to fill an empty space until it is full: a house fills with fragrance or sound, a net fills with fish, a low place is filled in and leveled. From there the word moves to people. A person can be filled the way a container is, but with something that takes hold of the inner life: joy, sorrow, comfort, the Spirit, knowledge, or even wickedness. The picture is the same in both: something pours in until there is no room left for anything else.
Because the image is one of being completely filled, the word often carries the idea of full measure, not just a partial topping up. To be filled with joy is to have joy brimming over, not merely present. This is why English translations reach for "full" as much as "fill": the point is that the supply is total.
When the New Testament speaks of God filling all things, or of believers being filled with all the fullness of God, this same picture is stretched to its largest scale: God's presence saturating everything, leaving nothing untouched.