86791 divided by 6 
We want to divide 86791 by 6.

Let's proceed to step 1:
8 divided by 6 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 6 from 8 leaves us with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 6

Let's proceed to step 2:
26 divided by 6 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtract 24 from 26 to get 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 6

Let's proceed to step 3:
When dividing 27 by 6, we get 4 with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 144.0
Deduct 24 from 27 and we're left with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 6

Advancing to step 4:
If we divide 39 by 6, we get 6 and a remainder of 3.
The next digit of our result is 6. 
Result so far: 1446.0
The remainder is 3 after subtracting 36 from 39.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 6

Advancing to step 5:
6 goes into 31 5 times with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 14465.0
If we take 30 away from 31, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 6:
10 divided by 6 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 14465.1
The remainder is 4 after subtracting 6 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 14465.16
Subtracting 36 from 40 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
6 can be fit into 40 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 14465.166
Deduct 36 from 40 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 14465.166 with a balance of 0.0004.