We look at the division of 516644 by 81 
We want to divide 516644 by 81.

Going ahead to step 1:
81 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 81

Step 2:
If we divide 51 by 81, we get 0 and a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Fetch the next digit (6) from the dividend, attach it to 51 and continue: 516 / 81

Let's proceed to step 3:
81 goes into 516 6 times with a remainder of 30.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 486 from 516 leaves us with 30.
Include the next digit (6) from the dividend after 30, then repeat: 306 / 81

On to step 4:
When dividing 306 by 81, we get 3 with a remainder of 63.
Use 3 as the next digit of our solution. 
Result so far: 63.0
Subtracting 243 from 306 leaves us with 63.
Include the next digit (4) from the dividend after 63, then repeat: 634 / 81

Advancing to step 5:
The number 81 fits into 634 7 times, leaving a remainder of 67.
Record the quotient 7 as the next digit in the result. 
Result so far: 637.0
Subtracting 567 from 634 leaves us with 67.
Bring next digit (4) of the dividend behind the 67 and repeat the process: 674 / 81

Advancing to step 6:
674 divided by 81 is 8 with a remainder of 26.
The number 8 becomes the next digit in our result. 
Result so far: 6378.0
If we take 648 away from 674, 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.

Let's proceed to step 7:
The number 81 fits into 260 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 6378.3
If we take 243 away from 260, we end up 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.

Advancing to step 8:
The number 81 fits into 170 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 6378.32
If we take 162 away from 170, we end up 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.

On to step 9:
When dividing 80 by 81, we get 0 with a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 6378.32
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 10:
800 divided by 81 is 9 with a remainder of 71.
Write down 9 as next digit of the result. 
Result so far: 6378.3209
Subtract 729 from 800 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 11:
The number 81 fits into 710 8 times, leaving a remainder of 62.
The next digit of our result is 8. 
Result so far: 6378.32098
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.

Moving on to step 12:
If we divide 620 by 81, we get 7 and a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 6378.320987
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.

Moving on to step 13:
The number 81 fits into 530 6 times, leaving a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 6378.3209876
The remainder is 44 after subtracting 486 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 14:
440 divided by 81 is 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 6378.32098765
If we take 405 away from 440, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 6378.32098765, with a leftover of 3.5e-08.