We're dividing 561640 by 81 
We want to figure out the number of times 561640 can be divided by 81.

Let's proceed 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
If we subtract 0 from 5, we get 5.
Take the next digit (6) from the dividend and append it to 5, then repeat: 56 / 81

Advancing to step 2:
The number 81 fits into 56 0 times, leaving a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Append the next digit (1) from the dividend to 56 and continue with: 561 / 81

Let's proceed to step 3:
When dividing 561 by 81, we get 6 with a remainder of 75.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 486 from 561 leaves us with 75.
Append the next digit (6) from the dividend to 75 and continue with: 756 / 81

Going ahead to step 4:
The number 81 fits into 756 9 times, leaving a remainder of 27.
The next digit of our result is 9. 
Result so far: 69.0
The remainder is 27 after subtracting 729 from 756.
Bring next digit (4) of the dividend behind the 27 and repeat the process: 274 / 81

Step 5:
When dividing 274 by 81, we get 3 with a remainder of 31.
Record the quotient 3 as the next digit in the result. 
Result so far: 693.0
The remainder is 31 after subtracting 243 from 274.
Fetch the next digit (0) from the dividend, attach it to 31 and continue: 310 / 81

Advancing to step 6:
The number 81 fits into 310 3 times, leaving a remainder of 67.
Use 3 as the next digit of our solution. 
Result so far: 6933.0
Subtract 243 from 310 to get 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 7:
When dividing 670 by 81, we get 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 6933.8
The remainder is 22 after subtracting 648 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
81 goes into 220 2 times with a remainder of 58.
Use 2 as the next digit of our solution. 
Result so far: 6933.82
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.

Step 9:
If we divide 580 by 81, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 6933.827
Deduct 567 from 580 and we're left 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 10:
81 goes into 130 1 times with a remainder of 49.
The number 1 becomes the next digit in our result. 
Result so far: 6933.8271
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.

On to step 11:
490 divided by 81 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 6933.82716
The remainder is 4 after subtracting 486 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
81 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 6933.82716
If we subtract 0 from 40, we get 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 13:
If we divide 400 by 81, we get 4 and a remainder of 76.
Write down 4 as next digit of the result. 
Result so far: 6933.8271604
Subtract 324 from 400 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 14:
81 can be fit into 760 9 times, resulting in a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 6933.82716049
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.

In conclusion, the division gives 6933.82716049 with a balance of 3.1e-08.