Let's divide 217567 by 97
The aim is to understand the frequency of 97 in 217567.

Going ahead to step 1:
97 can be fit into 2 0 times, resulting in a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 97

Step 2:
97 goes into 21 0 times with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Fetch the next digit (7) from the dividend, attach it to 21 and continue: 217 / 97

Step 3:
The number 97 fits into 217 2 times, leaving a remainder of 23.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 194 from 217, we get 23.
Take the next digit (5) from the dividend and append it to 23, then repeat: 235 / 97

On to step 4:
The number 97 fits into 235 2 times, leaving a remainder of 41.
The next digit of our result is 2. 
Result so far: 22.0
If we subtract 194 from 235, we get 41.
Include the next digit (6) from the dividend after 41, then repeat: 416 / 97

On to step 5:
97 goes into 416 4 times with a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 224.0
If we subtract 388 from 416, we get 28.
Include the next digit (7) from the dividend after 28, then repeat: 287 / 97

Going ahead to step 6:
97 can be fit into 287 2 times, resulting in a remainder of 93.
Record the quotient 2 as the next digit in the result. 
Result so far: 2242.0
Deduct 194 from 287 and we're left with 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

Let's proceed to step 7:
When dividing 930 by 97, we get 9 with a remainder of 57.
Use 9 as the next digit of our solution. 
Result so far: 2242.9
The remainder is 57 after subtracting 873 from 930.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 8:
570 divided by 97 is 5 with a remainder of 85.
Write down 5 as next digit of the result. 
Result so far: 2242.95
Deduct 485 from 570 and we're left with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Going ahead to step 9:
97 can be fit into 850 8 times, resulting in a remainder of 74.
Put 8 as the next digit of the answer. 
Result so far: 2242.958
Deduct 776 from 850 and we're left 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 10:
97 goes into 740 7 times with a remainder of 61.
Write down 7 as next digit of the result. 
Result so far: 2242.9587
If we take 679 away from 740, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 11:
610 divided by 97 is 6 with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 2242.95876
If we subtract 582 from 610, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 12:
If we divide 280 by 97, we get 2 and a remainder of 86.
Record the quotient 2 as the next digit in the result. 
Result so far: 2242.958762
Subtract 194 from 280 to get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 13:
860 divided by 97 is 8 with a remainder of 84.
The number 8 becomes the next digit in our result. 
Result so far: 2242.9587628
Deduct 776 from 860 and we're left with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 14:
If we divide 840 by 97, we get 8 and a remainder of 64.
Write down 8 as next digit of the result. 
Result so far: 2242.95876288
Subtract 776 from 840 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 2242.95876288 with a balance of 6.4e-08.