We look at the division of 903315 by 13 
We're looking to find how many times 13 goes into 903315.

Advancing to step 1:
13 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 13

Going ahead to step 2:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 12 after subtracting 78 from 90.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 13

Moving on to step 3:
123 divided by 13 is 9 with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
Subtract 117 from 123 to get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 13

Going ahead to step 4:
63 divided by 13 is 4 with a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 694.0
If we subtract 52 from 63, we get 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 13

On to step 5:
111 divided by 13 is 8 with a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 6948.0
Subtracting 104 from 111 leaves us with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 13

On to step 6:
75 divided by 13 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 69485.0
If we take 65 away from 75, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
100 divided by 13 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 69485.7
If we take 91 away from 100, we end up with 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 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 69485.76
Deduct 78 from 90 and we're left with 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 9:
120 divided by 13 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 69485.769
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 69485.7692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 69485.76923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 69485.76923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 69485.7692307
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 14:
When dividing 90 by 13, we get 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 69485.76923076
If we take 78 away from 90, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 69485.76923076 with a remainder of 1.2e-08.