Let's divide 435669 by 13
Our goal is to divide 435669 by 13.

Moving on to step 1:
13 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 13

Let's proceed to step 2:
43 divided by 13 is 3 with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 39 from 43 to get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 13

On to step 3:
When dividing 45 by 13, we get 3 with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 33.0
The remainder is 6 after subtracting 39 from 45.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 13

Advancing to step 4:
If we divide 66 by 13, we get 5 and a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 335.0
If we take 65 away from 66, we end up with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 13

On to step 5:
When dividing 16 by 13, we get 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 3351.0
If we take 13 away from 16, we end up with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 13

Going ahead to step 6:
39 divided by 13 is 3 with a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 33513.0
If we subtract 39 from 39, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 7:
13 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 33513.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
When dividing 0 by 13, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 33513.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 33513.0 and a remainder of 0.0.