We look at the division of 10159 by 81 
Our goal is to divide 10159 by 81.

Step 1:
If we divide 1 by 81, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 81

On to step 2:
10 divided by 81 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 81

Advancing to step 3:
When dividing 101 by 81, we get 1 with a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 81 away from 101, we end up with 20.
Take the next digit (5) from the dividend and append it to 20, then repeat: 205 / 81

Let's proceed to step 4:
205 divided by 81 is 2 with a remainder of 43.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we take 162 away from 205, we end up with 43.
Bring next digit (9) of the dividend behind the 43 and repeat the process: 439 / 81

Step 5:
If we divide 439 by 81, we get 5 and a remainder of 34.
Use 5 as the next digit of our solution. 
Result so far: 125.0
Subtracting 405 from 439 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 6:
The number 81 fits into 340 4 times, leaving a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 125.4
Subtract 324 from 340 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
The number 81 fits into 160 1 times, leaving a remainder of 79.
Write down 1 as next digit of the result. 
Result so far: 125.41
Subtract 81 from 160 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 8:
If we divide 790 by 81, we get 9 and a remainder of 61.
The next digit of our result is 9. 
Result so far: 125.419
Deduct 729 from 790 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 9:
If we divide 610 by 81, we get 7 and a remainder of 43.
Use 7 as the next digit of our solution. 
Result so far: 125.4197
Subtracting 567 from 610 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 10:
430 divided by 81 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 125.41975
If we subtract 405 from 430, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 11:
When dividing 250 by 81, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 125.419753
Deduct 243 from 250 and we're left with 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 12:
81 goes into 70 0 times with a remainder of 70.
The next digit of our result is 0. 
Result so far: 125.419753
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 13:
The number 81 fits into 700 8 times, leaving a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 125.41975308
If we subtract 648 from 700, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final result is 125.41975308 with a remainder of 5.2e-08.