We look at the division of 41155677 by 938 
We're looking to find how many times 938 goes into 41155677.

Advancing to step 1:
When dividing 4 by 938, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 938

On to step 2:
When dividing 41 by 938, we get 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Include the next digit (1) from the dividend after 41, then repeat: 411 / 938

Going ahead to step 3:
938 can be fit into 411 0 times, resulting in a remainder of 411.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 411 to get 411.
Fetch the next digit (5) from the dividend, attach it to 411 and continue: 4115 / 938

Advancing to step 4:
When dividing 4115 by 938, we get 4 with a remainder of 363.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtract 3752 from 4115 to get 363.
Fetch the next digit (5) from the dividend, attach it to 363 and continue: 3635 / 938

Moving on to step 5:
When dividing 3635 by 938, we get 3 with a remainder of 821.
Put 3 as the next digit of the answer. 
Result so far: 43.0
If we take 2814 away from 3635, we end up with 821.
Grab the next digit (6) from the dividend, add it to 821, then carry on: 8216 / 938

Moving on to step 6:
When dividing 8216 by 938, we get 8 with a remainder of 712.
Write down 8 as next digit of the result. 
Result so far: 438.0
Subtracting 7504 from 8216 leaves us with 712.
Take the next digit (7) from the dividend and append it to 712, then repeat: 7127 / 938

Going ahead to step 7:
7127 divided by 938 is 7 with a remainder of 561.
The number 7 becomes the next digit in our result. 
Result so far: 4387.0
If we take 6566 away from 7127, we end up with 561.
Grab the next digit (7) from the dividend, add it to 561, then carry on: 5617 / 938

Going ahead to step 8:
5617 divided by 938 is 5 with a remainder of 927.
Put 5 as the next digit of the answer. 
Result so far: 43875.0
Subtract 4690 from 5617 to get 927.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9270, and continue the process.

Step 9:
938 can be fit into 9270 9 times, resulting in a remainder of 828.
Use 9 as the next digit of our solution. 
Result so far: 43875.9
If we subtract 8442 from 9270, we get 828.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8280, and continue the process.

Let's proceed to step 10:
The number 938 fits into 8280 8 times, leaving a remainder of 776.
Record the quotient 8 as the next digit in the result. 
Result so far: 43875.98
Deduct 7504 from 8280 and we're left with 776.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7760, and continue the process.

Moving on to step 11:
If we divide 7760 by 938, we get 8 and a remainder of 256.
Write down 8 as next digit of the result. 
Result so far: 43875.988
The remainder is 256 after subtracting 7504 from 7760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

The final result is 43875.988 with a remainder of 0.0256.