We divide 81631 by 15
We want to figure out the number of times 81631 can be divided by 15.

Going ahead to step 1:
If we divide 8 by 15, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 15

Step 2:
15 goes into 81 5 times with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 75 from 81 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 15

Step 3:
The number 15 fits into 66 4 times, leaving a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 54.0
Subtract 60 from 66 to get 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 15

Going ahead to step 4:
The number 15 fits into 63 4 times, leaving a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 544.0
If we take 60 away from 63, we end up with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 15

Moving on to step 5:
When dividing 31 by 15, we get 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 5442.0
The remainder is 1 after subtracting 30 from 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
The number 15 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 5442.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
15 goes into 100 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 5442.06
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
If we divide 100 by 15, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 5442.066
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 5442.066 with a balance of 0.001.