We look at the division of 663983 by 41 
Our goal is to divide 663983 by 41.

Advancing to step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 41

Step 2:
66 divided by 41 is 1 with a remainder of 25.
The next digit of our result is 1. 
Result so far: 1.0
If we take 41 away from 66, we end up with 25.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 41

Going ahead to step 3:
253 divided by 41 is 6 with a remainder of 7.
The next digit of our result is 6. 
Result so far: 16.0
Subtract 246 from 253 to get 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 41

Moving on to step 4:
79 divided by 41 is 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 161.0
If we take 41 away from 79, we end up with 38.
Include the next digit (8) from the dividend after 38, then repeat: 388 / 41

On to step 5:
388 divided by 41 is 9 with a remainder of 19.
Use 9 as the next digit of our solution. 
Result so far: 1619.0
Subtracting 369 from 388 leaves us with 19.
Include the next digit (3) from the dividend after 19, then repeat: 193 / 41

Going ahead to step 6:
41 can be fit into 193 4 times, resulting in a remainder of 29.
Put 4 as the next digit of the answer. 
Result so far: 16194.0
Deduct 164 from 193 and we're left 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 7:
If we divide 290 by 41, we get 7 and a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 16194.7
Deduct 287 from 290 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
41 goes into 30 0 times with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 16194.7
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
41 can be fit into 300 7 times, resulting in a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 16194.707
Subtract 287 from 300 to get 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:
41 goes into 130 3 times with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 16194.7073
Subtract 123 from 130 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
70 divided by 41 is 1 with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 16194.70731
The remainder is 29 after subtracting 41 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 12:
When dividing 290 by 41, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 16194.707317
If we subtract 287 from 290, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 13:
The number 41 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 16194.707317
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 14:
The number 41 fits into 300 7 times, leaving a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 16194.70731707
If we subtract 287 from 300, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The final result is 16194.70731707 with a remainder of 1.3e-08.