We're dividing 395584 by 13 
We want to figure out the number of times 395584 can be divided by 13.

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
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 13

Going ahead to step 2:
The number 13 fits into 39 3 times, leaving a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 39 away from 39, we end up with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 13

On to step 3:
5 divided by 13 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
Subtract 0 from 5 to get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 13

Let's proceed to step 4:
If we divide 55 by 13, we get 4 and a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 304.0
If we take 52 away from 55, we end up with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 13

On to step 5:
13 can be fit into 38 2 times, resulting in a remainder of 12.
The next digit of our result is 2. 
Result so far: 3042.0
If we subtract 26 from 38, we get 12.
Append the next digit (4) from the dividend to 12 and continue with: 124 / 13

Let's proceed to step 6:
13 can be fit into 124 9 times, resulting in a remainder of 7.
The next digit of our result is 9. 
Result so far: 30429.0
Subtracting 117 from 124 leaves us 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.

Moving on to step 7:
70 divided by 13 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 30429.5
The remainder is 5 after subtracting 65 from 70.
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 8:
50 divided by 13 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 30429.53
Subtract 39 from 50 to 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.

On to step 9:
If we divide 110 by 13, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 30429.538
Deduct 104 from 110 and we're left 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.

Advancing to step 10:
When dividing 60 by 13, we get 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 30429.5384
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.

On to step 11:
80 divided by 13 is 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 30429.53846
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.

Moving on to step 12:
If we divide 20 by 13, we get 1 and a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 30429.538461
Deduct 13 from 20 and we're left 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.

Going ahead to step 13:
If we divide 70 by 13, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 30429.5384615
Deduct 65 from 70 and we're left 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.

Going ahead to step 14:
50 divided by 13 is 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 30429.53846153
Subtract 39 from 50 to 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.

In conclusion, the division gives 30429.53846153 with a balance of 1.1e-08.