We're dividing 19205 by 14 
We're looking to find how many times 14 goes into 19205.

Let's proceed to step 1:
The number 14 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 14

Advancing to step 2:
The number 14 fits into 19 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 14 from 19 leaves us with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 14

On to step 3:
52 divided by 14 is 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we take 42 away from 52, we end up with 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 14

On to step 4:
When dividing 100 by 14, we get 7 with a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 137.0
If we subtract 98 from 100, we get 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 14

Step 5:
The number 14 fits into 25 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 1371.0
If we take 14 away from 25, 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 6:
110 divided by 14 is 7 with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 1371.7
If we subtract 98 from 110, 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.

Going ahead to step 7:
120 divided by 14 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 1371.78
If we subtract 112 from 120, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
14 can be fit into 80 5 times, resulting in a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 1371.785
Subtract 70 from 80 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.

Step 9:
100 divided by 14 is 7 with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 1371.7857
If we subtract 98 from 100, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
20 divided by 14 is 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1371.78571
Deduct 14 from 20 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.

Moving on to step 11:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 1371.785714
If we subtract 56 from 60, 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.

Going ahead to step 12:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 1371.7857142
Deduct 28 from 40 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.

Step 13:
If we divide 120 by 14, we get 8 and a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 1371.78571428
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 1371.78571428 and a remainder of 8e-09.