We're dividing 506659 by 81 
We want to figure out the number of times 506659 can be divided by 81.

On to step 1:
5 divided by 81 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 81

Advancing to step 2:
If we divide 50 by 81, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Include the next digit (6) from the dividend after 50, then repeat: 506 / 81

Going ahead to step 3:
81 goes into 506 6 times with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 486 from 506 leaves us with 20.
Append the next digit (6) from the dividend to 20 and continue with: 206 / 81

Step 4:
When dividing 206 by 81, we get 2 with a remainder of 44.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
The remainder is 44 after subtracting 162 from 206.
Bring next digit (5) of the dividend behind the 44 and repeat the process: 445 / 81

On to step 5:
81 can be fit into 445 5 times, resulting in a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 625.0
Subtracting 405 from 445 leaves us with 40.
Fetch the next digit (9) from the dividend, attach it to 40 and continue: 409 / 81

Going ahead to step 6:
81 goes into 409 5 times with a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 6255.0
If we take 405 away from 409, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
40 divided by 81 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 6255.0
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
400 divided by 81 is 4 with a remainder of 76.
Record the quotient 4 as the next digit in the result. 
Result so far: 6255.04
If we take 324 away from 400, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 9:
81 can be fit into 760 9 times, resulting in a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 6255.049
Subtract 729 from 760 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 10:
81 can be fit into 310 3 times, resulting in a remainder of 67.
The number 3 becomes the next digit in our result. 
Result so far: 6255.0493
Deduct 243 from 310 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 11:
670 divided by 81 is 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 6255.04938
If we subtract 648 from 670, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 12:
220 divided by 81 is 2 with a remainder of 58.
Write down 2 as next digit of the result. 
Result so far: 6255.049382
If we take 162 away from 220, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 13:
When dividing 580 by 81, we get 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 6255.0493827
Subtracting 567 from 580 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 14:
81 goes into 130 1 times with a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 6255.04938271
If we subtract 81 from 130, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

The final outcome is 6255.04938271, with a leftover of 4.9e-08.