We look at the division of 256563 by 19 
We want to divide 256563 by 19.

Let's proceed to step 1:
If we divide 2 by 19, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 19

Let's proceed to step 2:
19 goes into 25 1 times with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 19 away from 25, we end up with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 19

Step 3:
19 can be fit into 66 3 times, resulting in a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we take 57 away from 66, we end up with 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 19

Step 4:
19 can be fit into 95 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 135.0
Subtract 95 from 95 to get 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 19

Let's proceed to step 5:
The number 19 fits into 6 0 times, leaving a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 1350.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 19

Moving on to step 6:
19 goes into 63 3 times with a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 13503.0
Subtract 57 from 63 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 7:
60 divided by 19 is 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 13503.3
The remainder is 3 after subtracting 57 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 8:
19 goes into 30 1 times with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 13503.31
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.

Step 9:
19 goes into 110 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 13503.315
Subtracting 95 from 110 leaves us 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 10:
19 goes into 150 7 times with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 13503.3157
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.

Step 11:
19 goes into 170 8 times with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 13503.31578
Deduct 152 from 170 and we're left 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 12:
19 can be fit into 180 9 times, resulting in a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 13503.315789
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.

Going ahead to step 13:
The number 19 fits into 90 4 times, leaving a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 13503.3157894
Deduct 76 from 90 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 14:
If we divide 140 by 19, we get 7 and a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 13503.31578947
If we take 133 away from 140, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

In conclusion, the division gives 13503.31578947 with a balance of 7e-09.