14140 ÷ 81 
Our goal is to divide 14140 by 81.

Let's proceed to step 1:
When dividing 1 by 81, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 81

Let's proceed to step 2:
81 can be fit into 14 0 times, resulting in a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Grab the next digit (1) from the dividend, add it to 14, then carry on: 141 / 81

Let's proceed to step 3:
When dividing 141 by 81, we get 1 with a remainder of 60.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 81 from 141 leaves us with 60.
Grab the next digit (4) from the dividend, add it to 60, then carry on: 604 / 81

Advancing to step 4:
81 can be fit into 604 7 times, resulting in a remainder of 37.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we subtract 567 from 604, we get 37.
Append the next digit (0) from the dividend to 37 and continue with: 370 / 81

On to step 5:
When dividing 370 by 81, we get 4 with a remainder of 46.
Write down 4 as next digit of the result. 
Result so far: 174.0
Deduct 324 from 370 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 6:
When dividing 460 by 81, we get 5 with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 174.5
The remainder is 55 after subtracting 405 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 7:
If we divide 550 by 81, we get 6 and a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 174.56
Subtract 486 from 550 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 8:
If we divide 640 by 81, we get 7 and a remainder of 73.
Put 7 as the next digit of the answer. 
Result so far: 174.567
Subtract 567 from 640 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Let's proceed to step 9:
The number 81 fits into 730 9 times, leaving a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 174.5679
Subtracting 729 from 730 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 10:
81 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 174.5679
If we take 0 away from 10, we end up with 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 11:
100 divided by 81 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 174.567901
Subtract 81 from 100 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 12:
81 can be fit into 190 2 times, resulting in a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 174.5679012
Subtract 162 from 190 to get 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 13:
81 can be fit into 280 3 times, resulting in a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 174.56790123
The remainder is 37 after subtracting 243 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

The final result is 174.56790123 with a remainder of 3.7e-08.