Let's divide 82586 by 6
Our goal is to divide 82586 by 6.

On to step 1:
When dividing 8 by 6, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 2 after subtracting 6 from 8.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 6

Moving on to step 2:
The number 6 fits into 22 3 times, leaving a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Subtracting 18 from 22 leaves us with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 6

On to step 3:
6 goes into 45 7 times with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 137.0
Deduct 42 from 45 and we're left with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 6

On to step 4:
6 goes into 38 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 1376.0
If we take 36 away from 38, we end up with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 6

Step 5:
If we divide 26 by 6, we get 4 and a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 13764.0
Deduct 24 from 26 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 6:
20 divided by 6 is 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 13764.3
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
6 goes into 20 3 times with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 13764.33
If we subtract 18 from 20, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 13764.33 with a balance of 0.002.