We're dividing 403369 by 13 
We want to figure out the number of times 403369 can be divided by 13.

Let's proceed to step 1:
13 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (0) from the dividend after 4, then repeat: 40 / 13

On to step 2:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 3.0
If we take 39 away from 40, we end up with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 13

Step 3:
When dividing 13 by 13, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
The remainder is 0 after subtracting 13 from 13.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 13

Going ahead to step 4:
13 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 310.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 13

Going ahead to step 5:
13 goes into 36 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 3102.0
The remainder is 10 after subtracting 26 from 36.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 13

On to step 6:
When dividing 109 by 13, we get 8 with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 31028.0
The remainder is 5 after subtracting 104 from 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
If we divide 50 by 13, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 31028.3
Subtracting 39 from 50 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 31028.38
If we subtract 104 from 110, we 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 9:
When dividing 60 by 13, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 31028.384
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
13 goes into 80 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 31028.3846
Deduct 78 from 80 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
When dividing 20 by 13, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 31028.38461
If we take 13 away from 20, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
13 goes into 70 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 31028.384615
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 31028.3846153
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 14:
13 goes into 110 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 31028.38461538
The remainder is 6 after subtracting 104 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 31028.38461538 with a balance of 6e-09.