31503 ÷ 7 = 4500 R3
Alright, let's work through the division of 31503 by 7 step by step.

Step 1:
7 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 (1) of the dividend behind the 3 and repeat the process: 31 / 7

Step 2:
7 goes into 31 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 28 from 31 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 7

Step 3:
7 goes into 35 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 45
Subtract 35 from 35 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: 450
Subtract 0 from 0 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 7

Step 5:
7 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 4500
Subtract 0 from 3 to get 3.

The final result is 4500 with a remainder of 3.