We look at the division of 38315166 by 903 
We're looking to find how many times 903 goes into 38315166.

Going ahead to step 1:
903 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 903

Step 2:
When dividing 38 by 903, we get 0 with a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 38, we end up with 38.
Bring next digit (3) of the dividend behind the 38 and repeat the process: 383 / 903

On to step 3:
383 divided by 903 is 0 with a remainder of 383.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 383, we end up with 383.
Include the next digit (1) from the dividend after 383, then repeat: 3831 / 903

Advancing to step 4:
If we divide 3831 by 903, we get 4 and a remainder of 219.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 3612 from 3831, we get 219.
Include the next digit (5) from the dividend after 219, then repeat: 2195 / 903

Let's proceed to step 5:
When dividing 2195 by 903, we get 2 with a remainder of 389.
Put 2 as the next digit of the answer. 
Result so far: 42.0
The remainder is 389 after subtracting 1806 from 2195.
Include the next digit (1) from the dividend after 389, then repeat: 3891 / 903

On to step 6:
The number 903 fits into 3891 4 times, leaving a remainder of 279.
The next digit of our result is 4. 
Result so far: 424.0
Subtracting 3612 from 3891 leaves us with 279.
Bring next digit (6) of the dividend behind the 279 and repeat the process: 2796 / 903

Advancing to step 7:
If we divide 2796 by 903, we get 3 and a remainder of 87.
Use 3 as the next digit of our solution. 
Result so far: 4243.0
The remainder is 87 after subtracting 2709 from 2796.
Grab the next digit (6) from the dividend, add it to 87, then carry on: 876 / 903

Going ahead to step 8:
903 goes into 876 0 times with a remainder of 876.
The number 0 becomes the next digit in our result. 
Result so far: 42430.0
Deduct 0 from 876 and we're left with 876.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8760, and continue the process.

Going ahead to step 9:
When dividing 8760 by 903, we get 9 with a remainder of 633.
Put 9 as the next digit of the answer. 
Result so far: 42430.9
If we subtract 8127 from 8760, we get 633.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6330, and continue the process.

Moving on to step 10:
6330 divided by 903 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 42430.97
Subtract 6321 from 6330 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 11:
903 can be fit into 90 0 times, resulting in a remainder of 90.
The next digit of our result is 0. 
Result so far: 42430.97
Subtracting 0 from 90 leaves us with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Going ahead to step 12:
903 can be fit into 900 0 times, resulting in a remainder of 900.
Put 0 as the next digit of the answer. 
Result so far: 42430.97
Deduct 0 from 900 and we're left with 900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9000, and continue the process.

The final result is 42430.97 with a remainder of 0.009.