We look at the division of 37903 by 41 
Let's see how many times 41 fits into 37903.

Moving on to step 1:
If we divide 3 by 41, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 41

On to step 2:
If we divide 37 by 41, we get 0 and a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Include the next digit (9) from the dividend after 37, then repeat: 379 / 41

Advancing to step 3:
If we divide 379 by 41, we get 9 and a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 10 after subtracting 369 from 379.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 41

Moving on to step 4:
41 goes into 100 2 times with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 92.0
If we subtract 82 from 100, we get 18.
Bring next digit (3) of the dividend behind the 18 and repeat the process: 183 / 41

Going ahead to step 5:
183 divided by 41 is 4 with a remainder of 19.
The number 4 becomes the next digit in our result. 
Result so far: 924.0
The remainder is 19 after subtracting 164 from 183.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 6:
When dividing 190 by 41, we get 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 924.4
If we subtract 164 from 190, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 7:
41 goes into 260 6 times with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 924.46
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
41 goes into 140 3 times with a remainder of 17.
The next digit of our result is 3. 
Result so far: 924.463
Subtracting 123 from 140 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
If we divide 170 by 41, we get 4 and a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 924.4634
Subtract 164 from 170 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
60 divided by 41 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 924.46341
If we take 41 away from 60, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 11:
If we divide 190 by 41, we get 4 and a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 924.463414
If we subtract 164 from 190, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 12:
When dividing 260 by 41, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 924.4634146
The remainder is 14 after subtracting 246 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
41 goes into 140 3 times with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 924.46341463
If we take 123 away from 140, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final outcome is 924.46341463, with a leftover of 1.7e-08.