We're dividing 200114 by 25 
The aim is to understand the frequency of 25 in 200114.

Moving on to step 1:
2 divided by 25 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 25

Going ahead to step 2:
If we divide 20 by 25, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 20, we get 20.
Append the next digit (0) from the dividend to 20 and continue with: 200 / 25

Advancing to step 3:
If we divide 200 by 25, we get 8 and a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 200 away from 200, we end up with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 25

Going ahead to step 4:
The number 25 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 80.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 25

On to step 5:
25 can be fit into 11 0 times, resulting in a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 800.0
Deduct 0 from 11 and we're left with 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 25

Step 6:
25 goes into 114 4 times with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 8004.0
Deduct 100 from 114 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
25 goes into 140 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 8004.5
If we take 125 away from 140, 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:
25 can be fit into 150 6 times, resulting in a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 8004.56
Subtract 150 from 150 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.

On to step 9:
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: 8004.56
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.

Step 10:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 8004.56
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.

After the division, we end up with 8004.56 and a remainder of 0.0.