663104 ÷ 41 
Our goal is to divide 663104 by 41.

Step 1:
When dividing 6 by 41, we get 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 41

Moving on to step 2:
41 can be fit into 66 1 times, resulting in a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 41 from 66 leaves us with 25.
Take the next digit (3) from the dividend and append it to 25, then repeat: 253 / 41

Step 3:
41 goes into 253 6 times with a remainder of 7.
The next digit of our result is 6. 
Result so far: 16.0
Deduct 246 from 253 and we're left with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 41

Step 4:
The number 41 fits into 71 1 times, leaving a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 161.0
Deduct 41 from 71 and we're left with 30.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 41

Let's proceed to step 5:
When dividing 300 by 41, we get 7 with a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 1617.0
If we take 287 away from 300, we end up with 13.
Append the next digit (4) from the dividend to 13 and continue with: 134 / 41

Let's proceed to step 6:
41 goes into 134 3 times with a remainder of 11.
The next digit of our result is 3. 
Result so far: 16173.0
The remainder is 11 after subtracting 123 from 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
If we divide 110 by 41, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 16173.2
Subtract 82 from 110 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
280 divided by 41 is 6 with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 16173.26
Subtract 246 from 280 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 9:
If we divide 340 by 41, we get 8 and a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 16173.268
If we take 328 away from 340, we end up 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.

On to step 10:
41 can be fit into 120 2 times, resulting in a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 16173.2682
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 11:
41 goes into 380 9 times with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 16173.26829
Subtracting 369 from 380 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 12:
41 can be fit into 110 2 times, resulting in a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 16173.268292
Subtract 82 from 110 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 13:
41 goes into 280 6 times with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 16173.2682926
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 14:
When dividing 340 by 41, we get 8 with a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 16173.26829268
If we subtract 328 from 340, 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.

In conclusion, the division gives 16173.26829268 with a balance of 1.2e-08.