We're dividing 603753 by 41 
Let's see how many times 41 fits into 603753.

Step 1:
41 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (0) from the dividend after 6, then repeat: 60 / 41

On to step 2:
When dividing 60 by 41, we get 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 41 from 60, we get 19.
Fetch the next digit (3) from the dividend, attach it to 19 and continue: 193 / 41

On to step 3:
The number 41 fits into 193 4 times, leaving a remainder of 29.
Use 4 as the next digit of our solution. 
Result so far: 14.0
The remainder is 29 after subtracting 164 from 193.
Grab the next digit (7) from the dividend, add it to 29, then carry on: 297 / 41

Advancing to step 4:
41 goes into 297 7 times with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 147.0
If we take 287 away from 297, we end up with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 41

Going ahead to step 5:
If we divide 105 by 41, we get 2 and a remainder of 23.
Write down 2 as next digit of the result. 
Result so far: 1472.0
If we subtract 82 from 105, we get 23.
Bring next digit (3) of the dividend behind the 23 and repeat the process: 233 / 41

Advancing to step 6:
41 goes into 233 5 times with a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 14725.0
The remainder is 28 after subtracting 205 from 233.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 7:
The number 41 fits into 280 6 times, leaving a remainder of 34.
The next digit of our result is 6. 
Result so far: 14725.6
If we take 246 away from 280, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 8:
When dividing 340 by 41, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 14725.68
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
41 goes into 120 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 14725.682
The remainder is 38 after subtracting 82 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 10:
The number 41 fits into 380 9 times, leaving a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 14725.6829
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 11:
When dividing 110 by 41, we get 2 with a remainder of 28.
The next digit of our result is 2. 
Result so far: 14725.68292
If we take 82 away from 110, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 12:
If we divide 280 by 41, we get 6 and a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 14725.682926
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.

Moving on to step 13:
If we divide 340 by 41, we get 8 and a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 14725.6829268
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.

Step 14:
41 goes into 120 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 14725.68292682
Subtracting 82 from 120 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 14725.68292682 with a remaining 3.8e-08.