We're dividing 515897 by 81 
Our goal is to divide 515897 by 81.

Let's proceed to step 1:
If we divide 5 by 81, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 81

Going ahead to step 2:
If we divide 51 by 81, we get 0 and a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Bring next digit (5) of the dividend behind the 51 and repeat the process: 515 / 81

Step 3:
The number 81 fits into 515 6 times, leaving a remainder of 29.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 486 from 515 leaves us with 29.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 81

Let's proceed to step 4:
298 divided by 81 is 3 with a remainder of 55.
The next digit of our result is 3. 
Result so far: 63.0
If we take 243 away from 298, we end up with 55.
Include the next digit (9) from the dividend after 55, then repeat: 559 / 81

Step 5:
When dividing 559 by 81, we get 6 with a remainder of 73.
Write down 6 as next digit of the result. 
Result so far: 636.0
The remainder is 73 after subtracting 486 from 559.
Grab the next digit (7) from the dividend, add it to 73, then carry on: 737 / 81

Moving on to step 6:
If we divide 737 by 81, we get 9 and a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 6369.0
Subtracting 729 from 737 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
If we divide 80 by 81, we get 0 and a remainder of 80.
The next digit of our result is 0. 
Result so far: 6369.0
Subtracting 0 from 80 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 8:
81 goes into 800 9 times with a remainder of 71.
Use 9 as the next digit of our solution. 
Result so far: 6369.09
The remainder is 71 after subtracting 729 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 9:
81 can be fit into 710 8 times, resulting in a remainder of 62.
Put 8 as the next digit of the answer. 
Result so far: 6369.098
If we take 648 away from 710, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 10:
If we divide 620 by 81, we get 7 and a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 6369.0987
Deduct 567 from 620 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 11:
81 goes into 530 6 times with a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 6369.09876
Deduct 486 from 530 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 12:
If we divide 440 by 81, we get 5 and a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 6369.098765
Subtract 405 from 440 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 13:
If we divide 350 by 81, we get 4 and a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 6369.0987654
If we take 324 away from 350, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 14:
81 goes into 260 3 times with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 6369.09876543
Subtracting 243 from 260 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The quotient of the division is 6369.09876543, and the remainder is 1.7e-08.