86276 ÷ 6 = 14379 R2
Alright, let's work through the division of 86276 by 6 step by step.

Step 1:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 8 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 6

Step 2:
6 goes into 26 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 24 from 26 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 6

Step 3:
6 goes into 22 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 143
Subtract 18 from 22 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 6

Step 4:
6 goes into 47 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 1437
Subtract 42 from 47 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 6

Step 5:
6 goes into 56 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 14379
Subtract 54 from 56 to get 2.

The final result is 14379 with a remainder of 2.