22522 ÷ 8 = 2815 R2
Alright, let's work through the division of 22522 by 8 step by step.

Step 1:
8 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 8

Step 2:
8 goes into 22 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 16 from 22 to get 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 8

Step 3:
8 goes into 65 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 28
Subtract 64 from 65 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 8

Step 4:
8 goes into 12 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 281
Subtract 8 from 12 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 8

Step 5:
8 goes into 42 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 2815
Subtract 40 from 42 to get 2.

The final result is 2815 with a remainder of 2.