We look at the division of 225003 by 19 
We're looking to find how many times 19 goes into 225003.

Moving on to step 1:
19 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 19

Let's proceed to step 2:
When dividing 22 by 19, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 19 from 22 leaves us with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 19

Moving on to step 3:
19 can be fit into 35 1 times, resulting in a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 19 from 35, we get 16.
Bring next digit (0) of the dividend behind the 16 and repeat the process: 160 / 19

On to step 4:
When dividing 160 by 19, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 118.0
Subtract 152 from 160 to get 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 19

Going ahead to step 5:
When dividing 80 by 19, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 1184.0
Deduct 76 from 80 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 19

Advancing to step 6:
43 divided by 19 is 2 with a remainder of 5.
Record the quotient 2 as the next digit in the result. 
Result so far: 11842.0
Subtracting 38 from 43 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.

Advancing to step 7:
If we divide 50 by 19, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 11842.2
Subtracting 38 from 50 leaves us 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.

On to step 8:
120 divided by 19 is 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 11842.26
Subtract 114 from 120 to 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.

Let's proceed to step 9:
19 goes into 60 3 times with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 11842.263
If we subtract 57 from 60, we 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.

On to step 10:
30 divided by 19 is 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 11842.2631
Subtracting 19 from 30 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 11:
110 divided by 19 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 11842.26315
If we take 95 away from 110, we end up 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.

Advancing to step 12:
19 goes into 150 7 times with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 11842.263157
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.

Going ahead to step 13:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 11842.2631578
If we take 152 away from 170, we end up 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 14:
The number 19 fits into 180 9 times, leaving a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 11842.26315789
Subtract 171 from 180 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.

Our division results in 11842.26315789 with a remaining 9e-09.