13103 ÷ 8 = 1637 R7
Alright, let's work through the division of 13103 by 8 step by step.

Step 1:
8 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 8

Step 2:
8 goes into 13 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 13 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 8

Step 3:
8 goes into 51 6 times with a remainder of 3.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 48 from 51 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 8

Step 4:
8 goes into 30 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 163
Subtract 24 from 30 to get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 8

Step 5:
8 goes into 63 7 times with a remainder of 7.
Write down 7 as next digit of of the result. 
Result so far: 1637
Subtract 56 from 63 to get 7.

The final result is 1637 with a remainder of 7.