39084 ÷ 8 = 4885 R4
Alright, let's work through the division of 39084 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 (9) of the dividend behind the 3 and repeat the process: 39 / 8

Step 2:
8 goes into 39 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 32 from 39 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 8

Step 3:
8 goes into 70 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 48
Subtract 64 from 70 to get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 8

Step 4:
8 goes into 68 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 488
Subtract 64 from 68 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 8

Step 5:
8 goes into 44 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 4885
Subtract 40 from 44 to get 4.

The final result is 4885 with a remainder of 4.