5318 ÷ 6 = 886 R2
Alright, let's work through the division of 5318 by 6 step by step.

Step 1:
6 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 5 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 6

Step 2:
6 goes into 53 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 48 from 53 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 6

Step 3:
6 goes into 51 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 88
Subtract 48 from 51 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 6

Step 4:
6 goes into 38 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 886
Subtract 36 from 38 to get 2.

The final result is 886 with a remainder of 2.