96886 ÷ 6 = 16147 R4
Alright, let's work through the division of 96886 by 6 step by step.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 6

Step 2:
6 goes into 36 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 36 from 36 to get 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 6

Step 3:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 161
Subtract 6 from 8 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 6

Step 4:
6 goes into 28 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 1614
Subtract 24 from 28 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 6

Step 5:
6 goes into 46 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 16147
Subtract 42 from 46 to get 4.

The final result is 16147 with a remainder of 4.