Essentially each space as he is moved.
Move to the last space where his last point was spent. That is the spot he is eliminated from the race.
Did he have enough points to cross the finish line? If so , I'd call it a win. (sounds like you are playing the basic game where you have a resource pool of points). In a regular game you'd never be able to over shoot and survive that many spaces.
The 13th point of damage (and his last) was ON the finish line. We count on the line as a finish.
And yeah, basic rules...works easier for playing at work