34629 ÷ 8 = 4328 R5
Alright, let's work through the division of 34629 by 8 step by step.

Step 1:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 8

Step 2:
8 goes into 34 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 32 from 34 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: 43
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: 432
Subtract 16 from 22 to get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 8

Step 5:
8 goes into 69 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 4328
Subtract 64 from 69 to get 5.

The final result is 4328 with a remainder of 5.