We look at the division of 41097385 by 603 
We want to divide 41097385 by 603.

Step 1:
4 divided by 603 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 603

On to step 2:
603 goes into 41 0 times with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Append the next digit (0) from the dividend to 41 and continue with: 410 / 603

Moving on to step 3:
If we divide 410 by 603, we get 0 and a remainder of 410.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 410, we get 410.
Grab the next digit (9) from the dividend, add it to 410, then carry on: 4109 / 603

Step 4:
603 goes into 4109 6 times with a remainder of 491.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 491 after subtracting 3618 from 4109.
Append the next digit (7) from the dividend to 491 and continue with: 4917 / 603

Step 5:
If we divide 4917 by 603, we get 8 and a remainder of 93.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Deduct 4824 from 4917 and we're left with 93.
Fetch the next digit (3) from the dividend, attach it to 93 and continue: 933 / 603

On to step 6:
603 can be fit into 933 1 times, resulting in a remainder of 330.
Write down 1 as next digit of the result. 
Result so far: 681.0
The remainder is 330 after subtracting 603 from 933.
Take the next digit (8) from the dividend and append it to 330, then repeat: 3308 / 603

Step 7:
When dividing 3308 by 603, we get 5 with a remainder of 293.
The number 5 becomes the next digit in our result. 
Result so far: 6815.0
If we take 3015 away from 3308, we end up with 293.
Bring next digit (5) of the dividend behind the 293 and repeat the process: 2935 / 603

Moving on to step 8:
603 can be fit into 2935 4 times, resulting in a remainder of 523.
The next digit of our result is 4. 
Result so far: 68154.0
If we take 2412 away from 2935, we end up with 523.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5230, and continue the process.

On to step 9:
The number 603 fits into 5230 8 times, leaving a remainder of 406.
The number 8 becomes the next digit in our result. 
Result so far: 68154.8
Subtracting 4824 from 5230 leaves us with 406.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

Advancing to step 10:
The number 603 fits into 4060 6 times, leaving a remainder of 442.
Write down 6 as next digit of the result. 
Result so far: 68154.86
Deduct 3618 from 4060 and we're left with 442.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4420, and continue the process.

Advancing to step 11:
603 goes into 4420 7 times with a remainder of 199.
Write down 7 as next digit of the result. 
Result so far: 68154.867
If we subtract 4221 from 4420, we get 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Advancing to step 12:
603 can be fit into 1990 3 times, resulting in a remainder of 181.
The next digit of our result is 3. 
Result so far: 68154.8673
The remainder is 181 after subtracting 1809 from 1990.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

Going ahead to step 13:
603 goes into 1810 3 times with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 68154.86733
If we take 1809 away from 1810, 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.

After the division, we end up with 68154.86733 and a remainder of 1e-06.