67003 ÷ 7 = 9571 R6
Alright, let's work through the division of 67003 by 7 step by step.

Step 1:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 7

Step 2:
7 goes into 67 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 9
Subtract 63 from 67 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 7

Step 3:
7 goes into 40 5 times with a remainder of 5.
Write down 5 as next digit of of the result. 
Result so far: 95
Subtract 35 from 40 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 7

Step 4:
7 goes into 50 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 957
Subtract 49 from 50 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

Step 5:
7 goes into 13 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 9571
Subtract 7 from 13 to get 6.

The final result is 9571 with a remainder of 6.