37004 ÷ 8 = 4625 R4
Alright, let's work through the division of 37004 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 (7) of the dividend behind the 3 and repeat the process: 37 / 8

Step 2:
8 goes into 37 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 32 from 37 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 8

Step 3:
8 goes into 50 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 46
Subtract 48 from 50 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 8

Step 4:
8 goes into 20 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 462
Subtract 16 from 20 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: 4625
Subtract 40 from 44 to get 4.

The final result is 4625 with a remainder of 4.