2201 ÷ 87 
The aim is to understand the frequency of 87 in 2201.

Going ahead to step 1:
87 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 87

On to step 2:
If we divide 22 by 87, we get 0 and a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 22 to get 22.
Grab the next digit (0) from the dividend, add it to 22, then carry on: 220 / 87

Step 3:
87 goes into 220 2 times with a remainder of 46.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 174 from 220, we get 46.
Bring next digit (1) of the dividend behind the 46 and repeat the process: 461 / 87

Moving on to step 4:
If we divide 461 by 87, we get 5 and a remainder of 26.
The next digit of our result is 5. 
Result so far: 25.0
The remainder is 26 after subtracting 435 from 461.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 5:
260 divided by 87 is 2 with a remainder of 86.
The next digit of our result is 2. 
Result so far: 25.2
Deduct 174 from 260 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Going ahead to step 6:
If we divide 860 by 87, we get 9 and a remainder of 77.
The next digit of our result is 9. 
Result so far: 25.29
The remainder is 77 after subtracting 783 from 860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Let's proceed to step 7:
87 goes into 770 8 times with a remainder of 74.
The next digit of our result is 8. 
Result so far: 25.298
Subtracting 696 from 770 leaves us with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 8:
The number 87 fits into 740 8 times, leaving a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 25.2988
Subtracting 696 from 740 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

In conclusion, the division gives 25.2988 with a balance of 0.00044.