903361 ÷ 13 
Our goal is to divide 903361 by 13.

On to step 1:
If we divide 9 by 13, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 13

Step 2:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 12 after subtracting 78 from 90.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 13

Let's proceed to step 3:
If we divide 123 by 13, we get 9 and a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 69.0
Deduct 117 from 123 and we're left with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 13

On to step 4:
The number 13 fits into 63 4 times, leaving a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 694.0
Subtracting 52 from 63 leaves us with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 13

Going ahead to step 5:
If we divide 116 by 13, we get 8 and a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 6948.0
Subtract 104 from 116 to get 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 13

Advancing to step 6:
If we divide 121 by 13, we get 9 and a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 69489.0
Subtracting 117 from 121 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
When dividing 40 by 13, we get 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 69489.3
Subtract 39 from 40 to 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.

Moving on to step 8:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 69489.3
Subtracting 0 from 10 leaves us 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.

On to step 9:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 69489.307
Deduct 91 from 100 and we're left 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.

Step 10:
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: 69489.3076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 11:
If we divide 120 by 13, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 69489.30769
Deduct 117 from 120 and we're left 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.

Step 12:
13 goes into 30 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 69489.307692
Subtracting 26 from 30 leaves us with 4.
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 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 69489.3076923
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 14:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 69489.3076923
Deduct 0 from 10 and we're left 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.

In conclusion, the division gives 69489.3076923 with a balance of 1e-08.