We're dividing 498329 by 25 
Our goal is to divide 498329 by 25.

Advancing to step 1:
25 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 25

Going ahead to step 2:
49 divided by 25 is 1 with a remainder of 24.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 24 after subtracting 25 from 49.
Append the next digit (8) from the dividend to 24 and continue with: 248 / 25

Moving on to step 3:
When dividing 248 by 25, we get 9 with a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
The remainder is 23 after subtracting 225 from 248.
Include the next digit (3) from the dividend after 23, then repeat: 233 / 25

Let's proceed to step 4:
When dividing 233 by 25, we get 9 with a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 199.0
Deduct 225 from 233 and we're left with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 25

Let's proceed to step 5:
25 goes into 82 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 1993.0
Subtracting 75 from 82 leaves us with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 25

Moving on to step 6:
The number 25 fits into 79 3 times, leaving a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 19933.0
If we take 75 away from 79, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
25 can be fit into 40 1 times, resulting in a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 19933.1
Deduct 25 from 40 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.

Going ahead to step 8:
25 goes into 150 6 times with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 19933.16
Deduct 150 from 150 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.

Going ahead to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 19933.16
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.

Moving on to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 19933.16
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 19933.16 with a balance of 0.0.