We're dividing 659639 by 81 
Our goal is to divide 659639 by 81.

Going ahead to step 1:
When dividing 6 by 81, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 81

On to step 2:
When dividing 65 by 81, we get 0 with a remainder of 65.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 65 to get 65.
Bring next digit (9) of the dividend behind the 65 and repeat the process: 659 / 81

Let's proceed to step 3:
If we divide 659 by 81, we get 8 and a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 648 from 659 to get 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 81

Moving on to step 4:
81 goes into 116 1 times with a remainder of 35.
The next digit of our result is 1. 
Result so far: 81.0
Subtract 81 from 116 to get 35.
Include the next digit (3) from the dividend after 35, then repeat: 353 / 81

Step 5:
If we divide 353 by 81, we get 4 and a remainder of 29.
The next digit of our result is 4. 
Result so far: 814.0
If we subtract 324 from 353, we get 29.
Fetch the next digit (9) from the dividend, attach it to 29 and continue: 299 / 81

Step 6:
The number 81 fits into 299 3 times, leaving a remainder of 56.
Write down 3 as next digit of the result. 
Result so far: 8143.0
Deduct 243 from 299 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 7:
The number 81 fits into 560 6 times, leaving a remainder of 74.
The next digit of our result is 6. 
Result so far: 8143.6
Deduct 486 from 560 and we're left with 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 8:
81 can be fit into 740 9 times, resulting in a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 8143.69
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.

Let's proceed to step 9:
If we divide 110 by 81, we get 1 and a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 8143.691
Subtracting 81 from 110 leaves us 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.

Moving on to step 10:
When dividing 290 by 81, we get 3 with a remainder of 47.
The next digit of our result is 3. 
Result so far: 8143.6913
If we take 243 away from 290, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 11:
When dividing 470 by 81, we get 5 with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 8143.69135
The remainder is 65 after subtracting 405 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 12:
The number 81 fits into 650 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 8143.691358
If we subtract 648 from 650, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 13:
When dividing 20 by 81, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 8143.691358
The remainder is 20 after subtracting 0 from 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 14:
200 divided by 81 is 2 with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 8143.69135802
Subtract 162 from 200 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

In conclusion, the division gives 8143.69135802 with a balance of 3.8e-08.