We look at the division of 566669 by 81 
Our goal is to divide 566669 by 81.

Let's proceed 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
Deduct 0 from 5 and we're left with 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 81

Advancing to step 2:
The number 81 fits into 56 0 times, leaving a remainder of 56.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 56 leaves us with 56.
Include the next digit (6) from the dividend after 56, then repeat: 566 / 81

Going ahead to step 3:
566 divided by 81 is 6 with a remainder of 80.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 80 after subtracting 486 from 566.
Fetch the next digit (6) from the dividend, attach it to 80 and continue: 806 / 81

On to step 4:
81 goes into 806 9 times with a remainder of 77.
Use 9 as the next digit of our solution. 
Result so far: 69.0
If we take 729 away from 806, we end up with 77.
Include the next digit (6) from the dividend after 77, then repeat: 776 / 81

Going ahead to step 5:
The number 81 fits into 776 9 times, leaving a remainder of 47.
Put 9 as the next digit of the answer. 
Result so far: 699.0
Subtracting 729 from 776 leaves us with 47.
Bring next digit (9) of the dividend behind the 47 and repeat the process: 479 / 81

On to step 6:
81 can be fit into 479 5 times, resulting in a remainder of 74.
Write down 5 as next digit of the result. 
Result so far: 6995.0
If we subtract 405 from 479, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 7:
81 can be fit into 740 9 times, resulting in a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 6995.9
If we take 729 away from 740, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 8:
The number 81 fits into 110 1 times, leaving a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 6995.91
Deduct 81 from 110 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 9:
The number 81 fits into 290 3 times, leaving a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 6995.913
If we subtract 243 from 290, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 10:
81 goes into 470 5 times with a remainder of 65.
The next digit of our result is 5. 
Result so far: 6995.9135
Deduct 405 from 470 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 11:
650 divided by 81 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 6995.91358
Subtracting 648 from 650 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 12:
The number 81 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 6995.91358
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
The number 81 fits into 200 2 times, leaving a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 6995.9135802
Deduct 162 from 200 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 14:
If we divide 380 by 81, we get 4 and a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 6995.91358024
If we subtract 324 from 380, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Our division results in 6995.91358024 with a remaining 5.6e-08.