We look at the division of 41903 by 55 
Let's see how many times 55 fits into 41903.

Going ahead to step 1:
55 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 55

Advancing to step 2:
55 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
Subtract 0 from 41 to get 41.
Bring next digit (9) of the dividend behind the 41 and repeat the process: 419 / 55

Moving on to step 3:
If we divide 419 by 55, we get 7 and a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 385 from 419 to get 34.
Fetch the next digit (0) from the dividend, attach it to 34 and continue: 340 / 55

On to step 4:
340 divided by 55 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 76.0
The remainder is 10 after subtracting 330 from 340.
Take the next digit (3) from the dividend and append it to 10, then repeat: 103 / 55

Going ahead to step 5:
55 can be fit into 103 1 times, resulting in a remainder of 48.
Put 1 as the next digit of the answer. 
Result so far: 761.0
If we subtract 55 from 103, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 6:
If we divide 480 by 55, we get 8 and a remainder of 40.
The next digit of our result is 8. 
Result so far: 761.8
Deduct 440 from 480 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 7:
The number 55 fits into 400 7 times, leaving a remainder of 15.
The next digit of our result is 7. 
Result so far: 761.87
Subtracting 385 from 400 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
55 goes into 150 2 times with a remainder of 40.
The next digit of our result is 2. 
Result so far: 761.872
If we take 110 away from 150, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
If we divide 400 by 55, we get 7 and a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 761.8727
If we take 385 away from 400, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 10:
When dividing 150 by 55, we get 2 with a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 761.87272
The remainder is 40 after subtracting 110 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 11:
When dividing 400 by 55, we get 7 with a remainder of 15.
The next digit of our result is 7. 
Result so far: 761.872727
If we take 385 away from 400, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 12:
55 goes into 150 2 times with a remainder of 40.
Record the quotient 2 as the next digit in the result. 
Result so far: 761.8727272
Subtract 110 from 150 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 13:
400 divided by 55 is 7 with a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 761.87272727
Subtract 385 from 400 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

After the division, we end up with 761.87272727 and a remainder of 1.5e-08.