We're dividing 204671 by 19 
Our goal is to divide 204671 by 19.

On 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.
Take the next digit (0) from the dividend and append it to 2, then repeat: 20 / 19

On to step 2:
When dividing 20 by 19, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 19 from 20, we get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 19

Going ahead to step 3:
If we divide 14 by 19, we get 0 and a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 14 leaves us with 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 19

On to step 4:
146 divided by 19 is 7 with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 107.0
If we take 133 away from 146, we end up with 13.
Grab the next digit (7) from the dividend, add it to 13, then carry on: 137 / 19

Let's proceed to step 5:
19 goes into 137 7 times with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 1077.0
If we subtract 133 from 137, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 19

Going ahead to step 6:
When dividing 41 by 19, we get 2 with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 10772.0
If we subtract 38 from 41, 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.

Step 7:
The number 19 fits into 30 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 10772.1
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 8:
19 goes into 110 5 times with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 10772.15
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.

Advancing to step 9:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 10772.157
Deduct 133 from 150 and we're left with 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 10:
When dividing 170 by 19, we get 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 10772.1578
Subtract 152 from 170 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
The number 19 fits into 180 9 times, leaving a remainder of 9.
The next digit of our result is 9. 
Result so far: 10772.15789
If we take 171 away from 180, we end up 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 12:
The number 19 fits into 90 4 times, leaving a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 10772.157894
If we subtract 76 from 90, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 13:
19 can be fit into 140 7 times, resulting in a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 10772.1578947
Subtract 133 from 140 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 14:
70 divided by 19 is 3 with a remainder of 13.
The next digit of our result is 3. 
Result so far: 10772.15789473
Deduct 57 from 70 and we're left 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.

In conclusion, the division gives 10772.15789473 with a balance of 1.3e-08.