We look at the division of 435783 by 13 
We're looking to find how many times 13 goes into 435783.

Let's proceed to step 1:
If we divide 4 by 13, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 13

Step 2:
When dividing 43 by 13, we get 3 with a remainder of 4.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 4 after subtracting 39 from 43.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 13

Moving on to step 3:
13 can be fit into 45 3 times, resulting in a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 33.0
Subtract 39 from 45 to get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 13

Moving on to step 4:
If we divide 67 by 13, we get 5 and a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 335.0
Subtract 65 from 67 to get 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 13

Advancing to step 5:
If we divide 28 by 13, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 3352.0
Subtract 26 from 28 to get 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 13

Step 6:
23 divided by 13 is 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 33521.0
The remainder is 10 after subtracting 13 from 23.
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 7:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 33521.7
Subtracting 91 from 100 leaves us with 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 8:
If we divide 90 by 13, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 33521.76
Subtract 78 from 90 to 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 9:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The next digit of our result is 9. 
Result so far: 33521.769
Subtract 117 from 120 to 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.

Moving on to step 10:
When dividing 30 by 13, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 33521.7692
If we take 26 away from 30, we end up 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.

Step 11:
When dividing 40 by 13, we get 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 33521.76923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 33521.76923
Subtracting 0 from 10 leaves us 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.

Step 13:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The next digit of our result is 7. 
Result so far: 33521.7692307
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.

Advancing to step 14:
If we divide 90 by 13, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 33521.76923076
Subtract 78 from 90 to 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.

After the division, we end up with 33521.76923076 and a remainder of 1.2e-08.