We're dividing 559965 by 81 
Our goal is to divide 559965 by 81.

Advancing to step 1:
5 divided by 81 is 0 with 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.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 81

Moving on to step 2:
81 goes into 55 0 times with a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Fetch the next digit (9) from the dividend, attach it to 55 and continue: 559 / 81

Let's proceed to step 3:
The number 81 fits into 559 6 times, leaving a remainder of 73.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 486 from 559 and we're left with 73.
Grab the next digit (9) from the dividend, add it to 73, then carry on: 739 / 81

Going ahead to step 4:
The number 81 fits into 739 9 times, leaving a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 69.0
Subtract 729 from 739 to get 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 81

On to step 5:
If we divide 106 by 81, we get 1 and a remainder of 25.
The next digit of our result is 1. 
Result so far: 691.0
Deduct 81 from 106 and we're left with 25.
Bring next digit (5) of the dividend behind the 25 and repeat the process: 255 / 81

Let's proceed to step 6:
81 can be fit into 255 3 times, resulting in a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 6913.0
Subtracting 243 from 255 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
The number 81 fits into 120 1 times, leaving a remainder of 39.
The next digit of our result is 1. 
Result so far: 6913.1
If we subtract 81 from 120, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 8:
When dividing 390 by 81, we get 4 with a remainder of 66.
The next digit of our result is 4. 
Result so far: 6913.14
If we subtract 324 from 390, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 9:
When dividing 660 by 81, we get 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 6913.148
If we subtract 648 from 660, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
The number 81 fits into 120 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 6913.1481
If we take 81 away from 120, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 11:
The number 81 fits into 390 4 times, leaving a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 6913.14814
If we take 324 away from 390, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 12:
When dividing 660 by 81, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 6913.148148
If we subtract 648 from 660, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
The number 81 fits into 120 1 times, leaving a remainder of 39.
The next digit of our result is 1. 
Result so far: 6913.1481481
Subtract 81 from 120 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 14:
The number 81 fits into 390 4 times, leaving a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 6913.14814814
Subtract 324 from 390 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The quotient of the division is 6913.14814814, and the remainder is 6.6e-08.