42004 ÷ 7 = 6000 R4
Alright, let's work through the division of 42004 by 7 step by step.

Step 1:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 7

Step 2:
7 goes into 42 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 42 from 42 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 7

Step 3:
7 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 60
Subtract 0 from 0 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 7

Step 4:
7 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 600
Subtract 0 from 0 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 7

Step 5:
7 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 6000
Subtract 0 from 4 to get 4.

The final result is 6000 with a remainder of 4.