4003 ÷ 8 = 500 R3
Let's divide 4003 by 8.

Step 1:
8 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 (0) of the dividend behind the 4 and repeat the process: 40 / 8

Step 2:
8 goes into 40 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 40 from 40 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 8

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

Step 4:
8 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 500
Subtract 0 from 3 to get 3.

The final result is 500 with a remainder of 3.