We look at the division of 111971 by 81 
We want to divide 111971 by 81.

Let's proceed to step 1:
1 divided by 81 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 81

Going ahead to step 2:
11 divided by 81 is 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 81

Moving on to step 3:
When dividing 111 by 81, we get 1 with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 81 from 111 to get 30.
Bring next digit (9) of the dividend behind the 30 and repeat the process: 309 / 81

Step 4:
The number 81 fits into 309 3 times, leaving a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtracting 243 from 309 leaves us with 66.
Grab the next digit (7) from the dividend, add it to 66, then carry on: 667 / 81

Advancing to step 5:
The number 81 fits into 667 8 times, leaving a remainder of 19.
Record the quotient 8 as the next digit in the result. 
Result so far: 138.0
Subtracting 648 from 667 leaves us with 19.
Take the next digit (1) from the dividend and append it to 19, then repeat: 191 / 81

Step 6:
If we divide 191 by 81, we get 2 and a remainder of 29.
Put 2 as the next digit of the answer. 
Result so far: 1382.0
The remainder is 29 after subtracting 162 from 191.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
290 divided by 81 is 3 with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 1382.3
Deduct 243 from 290 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 8:
If we divide 470 by 81, we get 5 and a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 1382.35
Subtracting 405 from 470 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 9:
650 divided by 81 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 1382.358
Deduct 648 from 650 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.

On to step 10:
When dividing 20 by 81, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 1382.358
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
When dividing 200 by 81, we get 2 with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 1382.35802
If we subtract 162 from 200, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 12:
If we divide 380 by 81, we get 4 and a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 1382.358024
If we take 324 away from 380, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 13:
If we divide 560 by 81, we get 6 and a remainder of 74.
The next digit of our result is 6. 
Result so far: 1382.3580246
The remainder is 74 after subtracting 486 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 14:
81 can be fit into 740 9 times, resulting in a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 1382.35802469
The remainder is 11 after subtracting 729 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 1382.35802469 with a remaining 1.1e-08.