Let's divide 126717 by 25
We want to figure out the number of times 126717 can be divided by 25.

Advancing to step 1:
The number 25 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 25

Advancing to step 2:
The number 25 fits into 12 0 times, leaving a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Include the next digit (6) from the dividend after 12, then repeat: 126 / 25

Moving on to step 3:
25 can be fit into 126 5 times, resulting in a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 125 away from 126, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 25

Step 4:
17 divided by 25 is 0 with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 50.0
Subtracting 0 from 17 leaves us with 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 25

Moving on to step 5:
When dividing 171 by 25, we get 6 with a remainder of 21.
The next digit of our result is 6. 
Result so far: 506.0
Deduct 150 from 171 and we're left with 21.
Include the next digit (7) from the dividend after 21, then repeat: 217 / 25

Moving on to step 6:
25 can be fit into 217 8 times, resulting in a remainder of 17.
The next digit of our result is 8. 
Result so far: 5068.0
If we take 200 away from 217, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
25 can be fit into 170 6 times, resulting in a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 5068.6
Deduct 150 from 170 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
The number 25 fits into 200 8 times, leaving a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 5068.68
Subtract 200 from 200 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.

Advancing to step 9:
If we divide 0 by 25, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 5068.68
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.

Moving on to 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: 5068.68
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.

After the division, we end up with 5068.68 and a remainder of 0.0.