We're dividing 380321 by 13 
We want to figure out the number of times 380321 can be divided by 13.

Step 1:
3 divided by 13 is 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 13

Moving on to step 2:
13 goes into 38 2 times with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 26 from 38, we get 12.
Take the next digit (0) from the dividend and append it to 12, then repeat: 120 / 13

On to step 3:
120 divided by 13 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 29.0
Subtract 117 from 120 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 13

Going ahead to step 4:
13 can be fit into 33 2 times, resulting in a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 292.0
Subtract 26 from 33 to get 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 13

Going ahead to step 5:
72 divided by 13 is 5 with a remainder of 7.
The next digit of our result is 5. 
Result so far: 2925.0
If we take 65 away from 72, we end up with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 13

Going ahead to step 6:
The number 13 fits into 71 5 times, leaving a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 29255.0
The remainder is 6 after subtracting 65 from 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 29255.4
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 29255.46
If we take 78 away from 80, we end up 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.

Moving on to step 9:
13 can be fit into 20 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 29255.461
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 10:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 29255.4615
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.

On to step 11:
13 goes into 50 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 29255.46153
Deduct 39 from 50 and we're left 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.

Advancing to step 12:
The number 13 fits into 110 8 times, leaving a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 29255.461538
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 29255.4615384
If we subtract 52 from 60, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 14:
13 can be fit into 80 6 times, resulting in a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 29255.46153846
Subtracting 78 from 80 leaves us 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.

In conclusion, the division gives 29255.46153846 with a balance of 2e-09.