82627 ÷ 8 = 10328 R3
Alright, let's work through the division of 82627 by 8 step by step.

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

Step 2:
8 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 2 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 8

Step 3:
8 goes into 26 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 103
Subtract 24 from 26 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 8

Step 4:
8 goes into 22 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 1032
Subtract 16 from 22 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 8

Step 5:
8 goes into 67 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 10328
Subtract 64 from 67 to get 3.

The final result is 10328 with a remainder of 3.