263044 divided by 19 
Our goal is to divide 263044 by 19.

Step 1:
If we divide 2 by 19, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 19

Step 2:
26 divided by 19 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 19 from 26 and we're left with 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 19

Step 3:
When dividing 73 by 19, we get 3 with a remainder of 16.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 57 from 73, we get 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 19

Step 4:
If we divide 160 by 19, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 138.0
Deduct 152 from 160 and we're left with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 19

On to step 5:
84 divided by 19 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 1384.0
Subtract 76 from 84 to get 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 19

Let's proceed to step 6:
19 can be fit into 84 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 13844.0
Subtracting 76 from 84 leaves us with 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 7:
When dividing 80 by 19, we get 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 13844.4
If we subtract 76 from 80, we get 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 8:
40 divided by 19 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 13844.42
If we take 38 away from 40, we end up 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.

On to step 9:
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: 13844.421
Deduct 19 from 20 and we're left with 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 10:
19 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 13844.421
Subtract 0 from 10 to get 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 11:
When dividing 100 by 19, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 13844.42105
If we subtract 95 from 100, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
19 goes into 50 2 times with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 13844.421052
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.

Let's proceed to step 13:
If we divide 120 by 19, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 13844.4210526
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.

Step 14:
19 can be fit into 60 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 13844.42105263
Deduct 57 from 60 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final outcome is 13844.42105263, with a leftover of 3e-09.