125879 divided by 25 
We want to figure out the number of times 125879 can be divided by 25.

Advancing to step 1:
25 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 25

Moving on to step 2:
25 goes into 12 0 times with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 25

Moving on to step 3:
125 divided by 25 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 125 from 125 leaves us with 0.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 25

On to step 4:
8 divided by 25 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 50.0
If we subtract 0 from 8, we get 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 25

Let's proceed to step 5:
The number 25 fits into 87 3 times, leaving a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 503.0
Deduct 75 from 87 and we're left with 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 25

Advancing to step 6:
25 can be fit into 129 5 times, resulting in a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 5035.0
Subtracting 125 from 129 leaves us 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.

Let's proceed to step 7:
40 divided by 25 is 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 5035.1
The remainder is 15 after subtracting 25 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
25 can be fit into 150 6 times, resulting in a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 5035.16
If we subtract 150 from 150, 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.

Step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5035.16
Subtract 0 from 0 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.

Moving on to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 5035.16
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.

The final result is 5035.16 with a remainder of 0.0.