We look at the division of 426258 by 19 
Let's see how many times 19 fits into 426258.

Going ahead to step 1:
If we divide 4 by 19, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 19

Going ahead to step 2:
When dividing 42 by 19, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 38 from 42 to get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 19

Step 3:
19 can be fit into 46 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
If we subtract 38 from 46, we get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 19

Going ahead to step 4:
The number 19 fits into 82 4 times, leaving a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 224.0
If we subtract 76 from 82, we get 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 19

On to step 5:
65 divided by 19 is 3 with a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 2243.0
The remainder is 8 after subtracting 57 from 65.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 19

On to step 6:
When dividing 88 by 19, we get 4 with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 22434.0
Deduct 76 from 88 and we're left 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.

Advancing to step 7:
19 can be fit into 120 6 times, resulting in a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 22434.6
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
When dividing 60 by 19, we get 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 22434.63
Subtract 57 from 60 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 9:
When dividing 30 by 19, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 22434.631
If we take 19 away from 30, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 10:
When dividing 110 by 19, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 22434.6315
The remainder is 15 after subtracting 95 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 11:
19 goes into 150 7 times with a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 22434.63157
Subtracting 133 from 150 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 12:
The number 19 fits into 170 8 times, leaving a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 22434.631578
The remainder is 18 after subtracting 152 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 13:
When dividing 180 by 19, we get 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 22434.6315789
If we subtract 171 from 180, we 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 14:
19 can be fit into 90 4 times, resulting in a remainder of 14.
The next digit of our result is 4. 
Result so far: 22434.63157894
Deduct 76 from 90 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final outcome is 22434.63157894, with a leftover of 1.4e-08.