We're dividing 430420 by 19 
We want to figure out the number of times 430420 can be divided by 19.

Going ahead to step 1:
4 divided by 19 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 19

Step 2:
If we divide 43 by 19, we get 2 and a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 38 away from 43, we end up with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 19

Let's proceed to step 3:
19 can be fit into 50 2 times, resulting in a remainder of 12.
The next digit of our result is 2. 
Result so far: 22.0
The remainder is 12 after subtracting 38 from 50.
Grab the next digit (4) from the dividend, add it to 12, then carry on: 124 / 19

Let's proceed to step 4:
When dividing 124 by 19, we get 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 226.0
If we subtract 114 from 124, we get 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 19

Let's proceed to step 5:
102 divided by 19 is 5 with a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 2265.0
If we take 95 away from 102, we end up with 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 19

Let's proceed to step 6:
When dividing 70 by 19, we get 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 22653.0
Subtract 57 from 70 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
If we divide 130 by 19, we get 6 and a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 22653.6
Subtracting 114 from 130 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 8:
The number 19 fits into 160 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 22653.68
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 22653.684
If we take 76 away from 80, 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 10:
The number 19 fits into 40 2 times, leaving a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 22653.6842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
The number 19 fits into 20 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 22653.68421
Subtract 19 from 20 to 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.

Moving on to step 12:
19 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 22653.68421
Deduct 0 from 10 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.

Let's proceed to step 13:
19 can be fit into 100 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 22653.6842105
Deduct 95 from 100 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
19 goes into 50 2 times with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 22653.68421052
If we take 38 away from 50, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 22653.68421052 with a remainder of 1.2e-08.