We're dividing 256529 by 19 
We're looking to find how many times 19 goes into 256529.

Going ahead to step 1:
2 divided by 19 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 19

Going ahead to step 2:
When dividing 25 by 19, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 19 from 25 and we're left with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 19

Moving on to step 3:
If we divide 66 by 19, we get 3 and a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we take 57 away from 66, we end up with 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 19

Moving on to step 4:
19 goes into 95 5 times with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 135.0
If we take 95 away from 95, we end up with 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 19

Going ahead to step 5:
19 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 1350.0
Subtract 0 from 2 to get 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 19

Step 6:
The number 19 fits into 29 1 times, leaving a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 13501.0
If we take 19 away from 29, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
When dividing 100 by 19, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 13501.5
If we take 95 away from 100, we end up 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.

Let's proceed to step 8:
If we divide 50 by 19, we get 2 and a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 13501.52
Subtract 38 from 50 to 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.

Step 9:
19 goes into 120 6 times with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 13501.526
Subtracting 114 from 120 leaves us 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 10:
60 divided by 19 is 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 13501.5263
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.

Let's proceed to step 11:
30 divided by 19 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 13501.52631
If we take 19 away from 30, 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.

Advancing to step 12:
When dividing 110 by 19, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 13501.526315
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.

Step 13:
150 divided by 19 is 7 with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 13501.5263157
If we take 133 away from 150, we end up 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.

Step 14:
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: 13501.52631578
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.

The final result is 13501.52631578 with a remainder of 1.8e-08.