We're dividing 129291 by 25 
We want to figure out the number of times 129291 can be divided by 25.

On to step 1:
25 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 25

Step 2:
25 goes into 12 0 times with a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 12 after subtracting 0 from 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 25

Step 3:
The number 25 fits into 129 5 times, leaving a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
The remainder is 4 after subtracting 125 from 129.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 25

Advancing to step 4:
When dividing 42 by 25, we get 1 with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
Deduct 25 from 42 and we're left with 17.
Take the next digit (9) from the dividend and append it to 17, then repeat: 179 / 25

Let's proceed to step 5:
If we divide 179 by 25, we get 7 and a remainder of 4.
The next digit of our result is 7. 
Result so far: 517.0
The remainder is 4 after subtracting 175 from 179.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 25

Moving on to step 6:
The number 25 fits into 41 1 times, leaving a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 5171.0
Subtract 25 from 41 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
If we divide 160 by 25, we get 6 and a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 5171.6
Subtracting 150 from 160 leaves us 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 8:
25 goes into 100 4 times with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 5171.64
Subtract 100 from 100 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.

Step 9:
25 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5171.64
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 5171.64
Deduct 0 from 0 and we're left with 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 5171.64 with a balance of 0.0.