Let's divide 658203 by 19
We want to divide 658203 by 19.

Going ahead to step 1:
When dividing 6 by 19, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 19

Step 2:
The number 19 fits into 65 3 times, leaving a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Subtract 57 from 65 to get 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 19

Going ahead to step 3:
The number 19 fits into 88 4 times, leaving a remainder of 12.
The next digit of our result is 4. 
Result so far: 34.0
If we subtract 76 from 88, we get 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 19

On to step 4:
The number 19 fits into 122 6 times, leaving a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 346.0
If we subtract 114 from 122, we get 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 19

Let's proceed to step 5:
When dividing 80 by 19, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 3464.0
The remainder is 4 after subtracting 76 from 80.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 19

On to step 6:
43 divided by 19 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 34642.0
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:
When dividing 50 by 19, we get 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 34642.2
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.

Moving on to step 8:
When dividing 120 by 19, we get 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 34642.26
Deduct 114 from 120 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.

On to step 9:
19 goes into 60 3 times with a remainder of 3.
The next digit of our result is 3. 
Result so far: 34642.263
Subtracting 57 from 60 leaves us 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.

Step 10:
The number 19 fits into 30 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 34642.2631
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.

Moving on to step 11:
110 divided by 19 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 34642.26315
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.

Moving on to step 12:
The number 19 fits into 150 7 times, leaving a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 34642.263157
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.
The number 8 becomes the next digit in our result. 
Result so far: 34642.2631578
If we subtract 152 from 170, we 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.

Going ahead to step 14:
19 can be fit into 180 9 times, resulting in a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 34642.26315789
If we subtract 171 from 180, we 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.

In conclusion, the division gives 34642.26315789 with a balance of 9e-09.