We're dividing 435019 by 30 
We want to figure out the number of times 435019 can be divided by 30.

Step 1:
4 divided by 30 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 30

Going ahead to step 2:
30 can be fit into 43 1 times, resulting in a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 13 after subtracting 30 from 43.
Fetch the next digit (5) from the dividend, attach it to 13 and continue: 135 / 30

On to step 3:
30 can be fit into 135 4 times, resulting in a remainder of 15.
The next digit of our result is 4. 
Result so far: 14.0
If we take 120 away from 135, we end up with 15.
Fetch the next digit (0) from the dividend, attach it to 15 and continue: 150 / 30

Going ahead to step 4:
30 goes into 150 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 145.0
The remainder is 0 after subtracting 150 from 150.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 30

Step 5:
The number 30 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 1450.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 30

Going ahead to step 6:
The number 30 fits into 19 0 times, leaving a remainder of 19.
The next digit of our result is 0. 
Result so far: 14500.0
Subtract 0 from 19 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
30 goes into 190 6 times with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 14500.6
Subtracting 180 from 190 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.

Going ahead to step 8:
If we divide 100 by 30, we get 3 and a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 14500.63
Deduct 90 from 100 and we're left 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.

Moving on to step 9:
The number 30 fits into 100 3 times, leaving a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 14500.633
If we take 90 away from 100, 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.

The quotient of the division is 14500.633, and the remainder is 0.001.