9999x8 is 79992.
You multiply the last digit of 9999 by 8 and get 72. You put 2 in the answer and carry the 7. Then multiply the next 9 by 8, you get 72 again, but you add the carried 7 to get 79. So put 9 in the answer and carry the 7. Do that again where you put down a 9 and carry the 7. Then for the leftmost 9, you multiply it by 8, add the carried 7, and put down 79 at the left of the answer. Then you should get 79992.