86129 ÷ 6 = 14354 R5
Let's divide 86129 by 6.

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 (1) of the dividend behind the 2 and repeat the process: 21 / 6

Step 3:
6 goes into 21 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 143
Subtract 18 from 21 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 6

Step 4:
6 goes into 32 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 1435
Subtract 30 from 32 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 6

Step 5:
6 goes into 29 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 14354
Subtract 24 from 29 to get 5.

The final result is 14354 with a remainder of 5.