11013 ÷ 8 = 1376 R5
Alright, let's work through the division of 11013 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 (1) of the dividend behind the 1 and repeat the process: 11 / 8

Step 2:
8 goes into 11 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 8 from 11 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 8

Step 3:
8 goes into 30 3 times with a remainder of 6.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 24 from 30 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 8

Step 4:
8 goes into 61 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 137
Subtract 56 from 61 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 8

Step 5:
8 goes into 53 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 1376
Subtract 48 from 53 to get 5.

The final result is 1376 with a remainder of 5.