86839 ÷ 6 = 14473 R1
Alright, let's work through the division of 86839 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 (8) of the dividend behind the 2 and repeat the process: 28 / 6

Step 3:
6 goes into 28 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 144
Subtract 24 from 28 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 6

Step 4:
6 goes into 43 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 1447
Subtract 42 from 43 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 6

Step 5:
6 goes into 19 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 14473
Subtract 18 from 19 to get 1.

The final result is 14473 with a remainder of 1.