We look at the division of 266429 by 19 
Our goal is to divide 266429 by 19.

Going ahead to step 1:
When dividing 2 by 19, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 19

Step 2:
19 goes into 26 1 times with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 19 from 26 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 19

Going ahead to step 3:
When dividing 76 by 19, we get 4 with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Deduct 76 from 76 and we're left with 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 19

Moving on to step 4:
When dividing 4 by 19, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 140.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 19

Moving on to step 5:
If we divide 42 by 19, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 1402.0
If we subtract 38 from 42, we get 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 19

Step 6:
If we divide 49 by 19, we get 2 and a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 14022.0
Subtracting 38 from 49 leaves us 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 7:
19 can be fit into 110 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 14022.5
Deduct 95 from 110 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
When dividing 150 by 19, we get 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 14022.57
Subtract 133 from 150 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 9:
When dividing 170 by 19, we get 8 with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 14022.578
Subtracting 152 from 170 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 10:
When dividing 180 by 19, we get 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 14022.5789
Deduct 171 from 180 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 11:
19 goes into 90 4 times with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 14022.57894
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.

On to step 12:
140 divided by 19 is 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 14022.578947
The remainder is 7 after subtracting 133 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
19 goes into 70 3 times with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 14022.5789473
If we take 57 away from 70, we end up 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.

On to step 14:
When dividing 130 by 19, we get 6 with a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 14022.57894736
If we subtract 114 from 130, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 14022.57894736, and the remainder is 1.6e-08.