126574 ÷ 25 
Let's see how many times 25 fits into 126574.

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
Subtracting 0 from 1 leaves us with 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 25

Going ahead to step 2:
If we divide 12 by 25, we get 0 and a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 25

Advancing to step 3:
The number 25 fits into 126 5 times, leaving a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 1 after subtracting 125 from 126.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 25

Let's proceed to step 4:
If we divide 15 by 25, we get 0 and a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 50.0
Subtract 0 from 15 to get 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 25

Advancing to step 5:
When dividing 157 by 25, we get 6 with a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 506.0
Deduct 150 from 157 and we're left with 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 25

Going ahead to step 6:
74 divided by 25 is 2 with a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 5062.0
If we take 50 away from 74, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
If we divide 240 by 25, we get 9 and a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 5062.9
If we take 225 away from 240, we end up 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.

Step 8:
If we divide 150 by 25, we get 6 and a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 5062.96
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.

On to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 5062.96
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.

Let's proceed to step 10:
25 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 5062.96
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.

The final outcome is 5062.96, with a leftover of 0.0.