Natural selection is when 'nature chooses ' the organism with the favourable characteristics to survive. E.G. Giraffe 's Long-necked giraffes are 'chosen by nature ' because they have the favourable characteristic of being tall, which allows them to reach higher branches in higher trees. Whilst shorter-necked giraffes cant reach this food source and as the shorter trees run out of vegetation, the shorter-necked giraffes will end up dead.
Artificial selection is when 'man-chooses ' the organism that he wants because of their favorable characteristics,
E.G Choosing the 'fat ' cows to breed to produce more fat cows because they have more meat in them. This will in-turn affect the numbers of the 'skinner ' cows with undesirable characteristics.
Artificial selection is where man selects organisms with useful characteristics to him whereas natural selection is the process whereby nature selects the fittest organisms.