We're dividing 82691 by 15 
We want to figure out the number of times 82691 can be divided by 15.

Moving on to step 1:
15 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 15

Advancing to step 2:
The number 15 fits into 82 5 times, leaving a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 75 from 82 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 15

On to step 3:
If we divide 76 by 15, we get 5 and a remainder of 1.
The next digit of our result is 5. 
Result so far: 55.0
If we subtract 75 from 76, we get 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 15

Going ahead to step 4:
19 divided by 15 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 551.0
Deduct 15 from 19 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 15

Going ahead to step 5:
15 can be fit into 41 2 times, resulting in a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 5512.0
The remainder is 11 after subtracting 30 from 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 6:
The number 15 fits into 110 7 times, leaving a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 5512.7
Deduct 105 from 110 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
15 goes into 50 3 times with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 5512.73
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
The next digit of our result is 3. 
Result so far: 5512.733
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 5512.733 with a balance of 0.0005.