425879 ÷ 25 
Let's see how many times 25 fits into 425879.

Going ahead to step 1:
When dividing 4 by 25, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 25

On to step 2:
42 divided by 25 is 1 with a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 25 away from 42, we end up with 17.
Bring next digit (5) of the dividend behind the 17 and repeat the process: 175 / 25

Going ahead to step 3:
The number 25 fits into 175 7 times, leaving a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Deduct 175 from 175 and we're left with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 25

Advancing to step 4:
If we divide 8 by 25, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 170.0
Subtract 0 from 8 to get 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 25

On to step 5:
The number 25 fits into 87 3 times, leaving a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 1703.0
If we subtract 75 from 87, we get 12.
Bring next digit (9) of the dividend behind the 12 and repeat the process: 129 / 25

Advancing to step 6:
129 divided by 25 is 5 with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 17035.0
If we take 125 away from 129, 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.

Moving on to step 7:
25 goes into 40 1 times with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 17035.1
If we subtract 25 from 40, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
25 goes into 150 6 times with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 17035.16
Subtracting 150 from 150 leaves us 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.

Let's proceed to step 9:
25 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 17035.16
Subtracting 0 from 0 leaves us 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 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 17035.16
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.

In conclusion, the division gives 17035.16 with a balance of 0.0.