We divide 668603 by 41
We want to divide 668603 by 41.

On to step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 41

Let's proceed to step 2:
If we divide 66 by 41, we get 1 and a remainder of 25.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 41 from 66 leaves us with 25.
Include the next digit (8) from the dividend after 25, then repeat: 258 / 41

On to step 3:
If we divide 258 by 41, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 16.0
The remainder is 12 after subtracting 246 from 258.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 41

On to step 4:
126 divided by 41 is 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 163.0
If we subtract 123 from 126, we get 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 41

Let's proceed to step 5:
The number 41 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 1630.0
If we subtract 0 from 30, we get 30.
Fetch the next digit (3) from the dividend, attach it to 30 and continue: 303 / 41

Step 6:
If we divide 303 by 41, we get 7 and a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 16307.0
Deduct 287 from 303 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
If we divide 160 by 41, we get 3 and a remainder of 37.
The next digit of our result is 3. 
Result so far: 16307.3
If we subtract 123 from 160, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 8:
If we divide 370 by 41, we get 9 and a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 16307.39
If we take 369 away from 370, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
41 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 16307.39
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
41 goes into 100 2 times with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 16307.3902
Subtracting 82 from 100 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
41 goes into 180 4 times with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 16307.39024
If we subtract 164 from 180, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 12:
When dividing 160 by 41, we get 3 with a remainder of 37.
The next digit of our result is 3. 
Result so far: 16307.390243
Subtract 123 from 160 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 13:
370 divided by 41 is 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 16307.3902439
Subtracting 369 from 370 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 14:
10 divided by 41 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 16307.3902439
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 16307.3902439 with a balance of 1e-08.