Find the value in the table that is closest to 0.8. In this case, it's 0.7995 and it's towards the top left of the table. Trace it to the left to get the first digit, the 8 and up to get the second digit, the 4. So far we're at a z-score of .084 0.8 is 0.005 off from the 0.7995 on the table though, so trace the column all the way to those single and double digits at the right and find the one closest to 5, in this case a six. Trace it up and it lines up with the last digit, a 2.
For practice, try to find the z-score of something with a probability of 0.8628. Can you see how it's 1.093? What about P=0.8355 with z=0.976?
As a side note, if I hadn't been able to load this picture on my ipad and physically rotate it, I wouldn't have helped. Tables on a computer screen are rough enough to read; orientating them the right way is probably a good way to increase the odds of people taking the time to help you.