We're dividing 433982 by 13 
We want to figure out the number of times 433982 can be divided by 13.

Going ahead to step 1:
13 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 13

Let's proceed to step 2:
13 can be fit into 43 3 times, resulting in a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 39 from 43 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 13

On to step 3:
13 can be fit into 43 3 times, resulting in a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Deduct 39 from 43 and we're left with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 13

Advancing to step 4:
49 divided by 13 is 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 333.0
The remainder is 10 after subtracting 39 from 49.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 13

Going ahead to step 5:
When dividing 108 by 13, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 3338.0
Subtracting 104 from 108 leaves us with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 13

Step 6:
When dividing 42 by 13, we get 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 33383.0
The remainder is 3 after subtracting 39 from 42.
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 7:
When dividing 30 by 13, we get 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 33383.2
Subtracting 26 from 30 leaves us 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.

Advancing to step 8:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 33383.23
If we subtract 39 from 40, we 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.

Going ahead to step 9:
If we divide 10 by 13, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 33383.23
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
If we divide 100 by 13, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 33383.2307
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.

Step 11:
If we divide 90 by 13, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 33383.23076
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.

Going ahead to step 12:
If we divide 120 by 13, we get 9 and a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 33383.230769
Subtracting 117 from 120 leaves us 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.

Moving on to step 13:
30 divided by 13 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 33383.2307692
Subtracting 26 from 30 leaves us 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.

Advancing to step 14:
When dividing 40 by 13, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 33383.23076923
If we subtract 39 from 40, we 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.

In conclusion, the division gives 33383.23076923 with a balance of 1e-09.