We divide 384380 by 13
We're looking to find how many times 13 goes into 384380.

Step 1:
3 divided by 13 is 0 with a remainder of 3.
The next digit of our result is 0. 
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

Step 2:
38 divided by 13 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 26 from 38 to get 12.
Include the next digit (4) from the dividend after 12, then repeat: 124 / 13

Going ahead to step 3:
The number 13 fits into 124 9 times, leaving a remainder of 7.
The next digit of our result is 9. 
Result so far: 29.0
Subtracting 117 from 124 leaves us with 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 13

Advancing to step 4:
13 can be fit into 73 5 times, resulting in a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 295.0
If we subtract 65 from 73, we get 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 13

Going ahead to step 5:
13 can be fit into 88 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 2956.0
If we take 78 away from 88, we end up with 10.
Grab the next digit (0) from the dividend, add it to 10, then carry on: 100 / 13

Step 6:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 29567.0
Subtract 91 from 100 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.

Going ahead to step 7:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 29567.6
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 29567.69
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
13 goes into 30 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 29567.692
Deduct 26 from 30 and we're left 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.

Moving on to step 10:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 29567.6923
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.

On to step 11:
If we divide 10 by 13, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 29567.6923
Subtract 0 from 10 to get 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 12:
100 divided by 13 is 7 with a remainder of 9.
The next digit of our result is 7. 
Result so far: 29567.692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 29567.6923076
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.

Advancing to step 14:
If we divide 120 by 13, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 29567.69230769
If we take 117 away from 120, we end up 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.

The final result is 29567.69230769 with a remainder of 3e-09.