13086 ÷ 8 = 1635 R6
Alright, let's work through the division of 13086 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 (0) of the dividend behind the 5 and repeat the process: 50 / 8

Step 3:
8 goes into 50 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 48 from 50 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 8

Step 4:
8 goes into 28 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 163
Subtract 24 from 28 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 8

Step 5:
8 goes into 46 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 1635
Subtract 40 from 46 to get 6.

The final result is 1635 with a remainder of 6.