384468 ÷ 13 
We want to figure out the number of times 384468 can be divided by 13.

Step 1:
When dividing 3 by 13, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 13

Let's proceed to step 2:
13 can be fit into 38 2 times, resulting in a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 26 away from 38, we end up with 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 13

Going ahead to step 3:
124 divided by 13 is 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 29.0
Deduct 117 from 124 and we're left with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 13

Let's proceed to step 4:
13 can be fit into 74 5 times, resulting in a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 295.0
The remainder is 9 after subtracting 65 from 74.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 13

Advancing to step 5:
96 divided by 13 is 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 2957.0
If we take 91 away from 96, we end up with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 13

Moving on to step 6:
58 divided by 13 is 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 29574.0
The remainder is 6 after subtracting 52 from 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 29574.4
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.

Step 8:
When dividing 80 by 13, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 29574.46
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.

Advancing to step 9:
13 goes into 20 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 29574.461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 10:
When dividing 70 by 13, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 29574.4615
If we take 65 away from 70, we end up 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:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 29574.46153
The remainder is 11 after subtracting 39 from 50.
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 12:
If we divide 110 by 13, we get 8 and a remainder of 6.
The next digit of our result is 8. 
Result so far: 29574.461538
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.

Moving on to step 13:
If we divide 60 by 13, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 29574.4615384
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 14:
80 divided by 13 is 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 29574.46153846
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.

The final outcome is 29574.46153846, with a leftover of 2e-09.