We're dividing 663943 by 81 
We want to divide 663943 by 81.

Let's proceed to step 1:
81 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 81

On to step 2:
81 can be fit into 66 0 times, resulting in a remainder of 66.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Bring next digit (3) of the dividend behind the 66 and repeat the process: 663 / 81

On to step 3:
81 goes into 663 8 times with a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 648 from 663 to get 15.
Bring next digit (9) of the dividend behind the 15 and repeat the process: 159 / 81

Going ahead to step 4:
When dividing 159 by 81, we get 1 with a remainder of 78.
Put 1 as the next digit of the answer. 
Result so far: 81.0
Subtracting 81 from 159 leaves us with 78.
Take the next digit (4) from the dividend and append it to 78, then repeat: 784 / 81

On to step 5:
81 goes into 784 9 times with a remainder of 55.
Write down 9 as next digit of the result. 
Result so far: 819.0
The remainder is 55 after subtracting 729 from 784.
Take the next digit (3) from the dividend and append it to 55, then repeat: 553 / 81

Let's proceed to step 6:
81 can be fit into 553 6 times, resulting in a remainder of 67.
Write down 6 as next digit of the result. 
Result so far: 8196.0
If we take 486 away from 553, we end up 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.

Let's proceed 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: 8196.8
Deduct 648 from 670 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
When dividing 220 by 81, we get 2 with a remainder of 58.
The number 2 becomes the next digit in our result. 
Result so far: 8196.82
Subtracting 162 from 220 leaves us 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 9:
When dividing 580 by 81, we get 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 8196.827
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.

Going ahead to step 10:
130 divided by 81 is 1 with a remainder of 49.
The next digit of our result is 1. 
Result so far: 8196.8271
The remainder is 49 after subtracting 81 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 11:
81 can be fit into 490 6 times, resulting in a remainder of 4.
The next digit of our result is 6. 
Result so far: 8196.82716
Deduct 486 from 490 and we're left 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 12:
The number 81 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 8196.82716
If we take 0 away from 40, we end up 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.

Going ahead to step 13:
If we divide 400 by 81, we get 4 and a remainder of 76.
Put 4 as the next digit of the answer. 
Result so far: 8196.8271604
The remainder is 76 after subtracting 324 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 14:
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: 8196.82716049
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.

The final outcome is 8196.82716049, with a leftover of 3.1e-08.