We look at the division of 429219 by 19 
We want to divide 429219 by 19.

Advancing to step 1:
When dividing 4 by 19, we get 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.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 19

Going ahead to step 2:
19 goes into 42 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 38 from 42 and we're left with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 19

On to step 3:
The number 19 fits into 49 2 times, leaving a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
The remainder is 11 after subtracting 38 from 49.
Grab the next digit (2) from the dividend, add it to 11, then carry on: 112 / 19

Going ahead to step 4:
19 can be fit into 112 5 times, resulting in a remainder of 17.
The next digit of our result is 5. 
Result so far: 225.0
Deduct 95 from 112 and we're left with 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 19

Let's proceed to step 5:
19 goes into 171 9 times with a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 2259.0
Deduct 171 from 171 and we're left with 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 19

Let's proceed to step 6:
When dividing 9 by 19, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 22590.0
Subtract 0 from 9 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.

On to step 7:
The number 19 fits into 90 4 times, leaving a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 22590.4
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
The number 19 fits into 140 7 times, leaving a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 22590.47
If we take 133 away from 140, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 9:
If we divide 70 by 19, we get 3 and a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 22590.473
Deduct 57 from 70 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 10:
If we divide 130 by 19, we get 6 and a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 22590.4736
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
If we divide 160 by 19, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 22590.47368
The remainder is 8 after subtracting 152 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 12:
19 goes into 80 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 22590.473684
Deduct 76 from 80 and we're left 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.

Advancing to step 13:
If we divide 40 by 19, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 22590.4736842
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.

Moving on to step 14:
20 divided by 19 is 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 22590.47368421
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.

The quotient of the division is 22590.47368421, and the remainder is 1e-09.