Let's divide 309871 by 81
We're looking to find how many times 81 goes into 309871.

Advancing to step 1:
When dividing 3 by 81, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 81

Let's proceed to step 2:
30 divided by 81 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Take the next digit (9) from the dividend and append it to 30, then repeat: 309 / 81

Step 3:
If we divide 309 by 81, we get 3 and a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 66 after subtracting 243 from 309.
Fetch the next digit (8) from the dividend, attach it to 66 and continue: 668 / 81

Step 4:
The number 81 fits into 668 8 times, leaving a remainder of 20.
Write down 8 as next digit of the result. 
Result so far: 38.0
Subtracting 648 from 668 leaves us with 20.
Include the next digit (7) from the dividend after 20, then repeat: 207 / 81

Going ahead to step 5:
81 can be fit into 207 2 times, resulting in a remainder of 45.
Record the quotient 2 as the next digit in the result. 
Result so far: 382.0
Deduct 162 from 207 and we're left with 45.
Fetch the next digit (1) from the dividend, attach it to 45 and continue: 451 / 81

On to step 6:
81 can be fit into 451 5 times, resulting in a remainder of 46.
Record the quotient 5 as the next digit in the result. 
Result so far: 3825.0
If we take 405 away from 451, we end up 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 7:
When dividing 460 by 81, we get 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 3825.5
Subtract 405 from 460 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 8:
81 goes into 550 6 times with a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 3825.56
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 9:
When dividing 640 by 81, we get 7 with a remainder of 73.
Record the quotient 7 as the next digit in the result. 
Result so far: 3825.567
Deduct 567 from 640 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 10:
81 can be fit into 730 9 times, resulting in a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 3825.5679
The remainder is 1 after subtracting 729 from 730.
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 11:
81 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 3825.5679
Deduct 0 from 10 and we're left 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.

Step 12:
If we divide 100 by 81, we get 1 and a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 3825.567901
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.

Step 13:
The number 81 fits into 190 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 3825.5679012
Subtracting 162 from 190 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.

Moving on to step 14:
If we divide 280 by 81, we get 3 and a remainder of 37.
Write down 3 as next digit of the result. 
Result so far: 3825.56790123
Subtracting 243 from 280 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

In conclusion, the division gives 3825.56790123 with a balance of 3.7e-08.