We're dividing 266441 by 19 
We're looking to find how many times 19 goes into 266441.

Let's proceed to step 1:
When dividing 2 by 19, we get 0 with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 19

Advancing to step 2:
19 goes into 26 1 times with a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 7 after subtracting 19 from 26.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 19

Going ahead to step 3:
19 goes into 76 4 times with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 14.0
The remainder is 0 after subtracting 76 from 76.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 19

On to step 4:
19 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 140.0
If we take 0 away from 4, we end up with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 19

Step 5:
19 goes into 44 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 1402.0
If we subtract 38 from 44, we get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 19

Going ahead to step 6:
When dividing 61 by 19, we get 3 with a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 14023.0
If we take 57 away from 61, 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.

Advancing to step 7:
19 can be fit into 40 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 14023.2
Deduct 38 from 40 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
20 divided by 19 is 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 14023.21
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.

On to step 9:
10 divided by 19 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 14023.21
Subtracting 0 from 10 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.

Moving on to step 10:
If we divide 100 by 19, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 14023.2105
Subtracting 95 from 100 leaves us 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 11:
19 can be fit into 50 2 times, resulting in a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 14023.21052
If we subtract 38 from 50, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 12:
When dividing 120 by 19, we get 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 14023.210526
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
19 goes into 60 3 times with a remainder of 3.
The next digit of our result is 3. 
Result so far: 14023.2105263
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.

Going ahead to step 14:
19 goes into 30 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 14023.21052631
If we subtract 19 from 30, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 14023.21052631 with a remaining 1.1e-08.