/a+b/
aabaaaaaaaab
START |a a b a a a a a a a a b a |a a b a a a a a a a a b Yes! + <a|a b a a a a a a a a b a <a|a b a a a a a a a a b Yes! + <a a|b a a a a a a a a b a <a a|b a a a a a a a a b Nope. b <a a|b a a a a a a a a b Yes! END <a a b>a a a a a a a a b Yes!
We reached END, so the match succeeds; it found the aab part of aabaaaaaaaab
Note! It didn't get the most
It got the leftest