We look at the division of 81991 by 42 
We want to divide 81991 by 42.

Moving on to step 1:
42 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 42

On to step 2:
The number 42 fits into 81 1 times, leaving a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 42 from 81 leaves us with 39.
Grab the next digit (9) from the dividend, add it to 39, then carry on: 399 / 42

Step 3:
399 divided by 42 is 9 with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Deduct 378 from 399 and we're left with 21.
Take the next digit (9) from the dividend and append it to 21, then repeat: 219 / 42

Step 4:
If we divide 219 by 42, we get 5 and a remainder of 9.
Record the quotient 5 as the next digit in the result. 
Result so far: 195.0
If we take 210 away from 219, we end up with 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 42

Step 5:
91 divided by 42 is 2 with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 1952.0
Subtract 84 from 91 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 6:
42 goes into 70 1 times with a remainder of 28.
Use 1 as the next digit of our solution. 
Result so far: 1952.1
Deduct 42 from 70 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
The number 42 fits into 280 6 times, leaving a remainder of 28.
The next digit of our result is 6. 
Result so far: 1952.16
Deduct 252 from 280 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
The number 42 fits into 280 6 times, leaving a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 1952.166
Subtracting 252 from 280 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 1952.166 with a balance of 0.0028.