We're dividing 41075358 by 603 
Let's see how many times 603 fits into 41075358.

Moving on to step 1:
603 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 603

Step 2:
When dividing 41 by 603, we get 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Grab the next digit (0) from the dividend, add it to 41, then carry on: 410 / 603

Advancing to step 3:
If we divide 410 by 603, we get 0 and a remainder of 410.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 410 after subtracting 0 from 410.
Fetch the next digit (7) from the dividend, attach it to 410 and continue: 4107 / 603

Moving on to step 4:
If we divide 4107 by 603, we get 6 and a remainder of 489.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 3618 from 4107 and we're left with 489.
Include the next digit (5) from the dividend after 489, then repeat: 4895 / 603

Step 5:
603 goes into 4895 8 times with a remainder of 71.
Use 8 as the next digit of our solution. 
Result so far: 68.0
The remainder is 71 after subtracting 4824 from 4895.
Grab the next digit (3) from the dividend, add it to 71, then carry on: 713 / 603

Advancing to step 6:
603 goes into 713 1 times with a remainder of 110.
Record the quotient 1 as the next digit in the result. 
Result so far: 681.0
Deduct 603 from 713 and we're left with 110.
Bring next digit (5) of the dividend behind the 110 and repeat the process: 1105 / 603

Going ahead to step 7:
603 can be fit into 1105 1 times, resulting in a remainder of 502.
Use 1 as the next digit of our solution. 
Result so far: 6811.0
Deduct 603 from 1105 and we're left with 502.
Grab the next digit (8) from the dividend, add it to 502, then carry on: 5028 / 603

On to step 8:
603 goes into 5028 8 times with a remainder of 204.
The next digit of our result is 8. 
Result so far: 68118.0
If we take 4824 away from 5028, we end up with 204.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2040, and continue the process.

Let's proceed to step 9:
603 can be fit into 2040 3 times, resulting in a remainder of 231.
Write down 3 as next digit of the result. 
Result so far: 68118.3
If we take 1809 away from 2040, we end up with 231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2310, and continue the process.

Moving on to step 10:
2310 divided by 603 is 3 with a remainder of 501.
Put 3 as the next digit of the answer. 
Result so far: 68118.33
Deduct 1809 from 2310 and we're left with 501.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5010, and continue the process.

In conclusion, the division gives 68118.33 with a balance of 0.501.