Let's divide 129519 by 25
We want to figure out the number of times 129519 can be divided by 25.

Moving on to step 1:
25 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 25

Let's proceed to step 2:
12 divided by 25 is 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 25

Going ahead to step 3:
The number 25 fits into 129 5 times, leaving a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 125 from 129 and we're left with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 25

Moving on to step 4:
25 can be fit into 45 1 times, resulting in a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
Subtract 25 from 45 to get 20.
Include the next digit (1) from the dividend after 20, then repeat: 201 / 25

Let's proceed to step 5:
25 can be fit into 201 8 times, resulting in a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 518.0
Subtract 200 from 201 to get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 25

Step 6:
When dividing 19 by 25, we get 0 with a remainder of 19.
The next digit of our result is 0. 
Result so far: 5180.0
Subtracting 0 from 19 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
When dividing 190 by 25, we get 7 with a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 5180.7
The remainder is 15 after subtracting 175 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
The number 25 fits into 150 6 times, leaving a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 5180.76
Subtract 150 from 150 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 5180.76
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
0 divided by 25 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5180.76
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 5180.76 with a balance of 0.0.