We look at the division of 435505 by 35 
We're looking to find how many times 35 goes into 435505.

Going ahead to step 1:
When dividing 4 by 35, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 35

On to step 2:
35 goes into 43 1 times with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 35 away from 43, we end up with 8.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 35

Let's proceed to step 3:
When dividing 85 by 35, we get 2 with a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 70 from 85, we get 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 35

Moving on to step 4:
35 can be fit into 155 4 times, resulting in a remainder of 15.
Put 4 as the next digit of the answer. 
Result so far: 124.0
Deduct 140 from 155 and we're left with 15.
Fetch the next digit (0) from the dividend, attach it to 15 and continue: 150 / 35

Going ahead to step 5:
35 goes into 150 4 times with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 1244.0
If we subtract 140 from 150, we get 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 35

Step 6:
35 goes into 105 3 times with a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 12443.0
The remainder is 0 after subtracting 105 from 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 7:
When dividing 0 by 35, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 12443.0
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.

Moving on to step 8:
When dividing 0 by 35, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 12443.0
Deduct 0 from 0 and we're left 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.

The quotient of the division is 12443.0, and the remainder is 0.0.