We look at the division of 705005 by 97 
The aim is to understand the frequency of 97 in 705005.

On to step 1:
When dividing 7 by 97, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 97

Moving on to step 2:
The number 97 fits into 70 0 times, leaving a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 70, we get 70.
Bring next digit (5) of the dividend behind the 70 and repeat the process: 705 / 97

On to step 3:
97 goes into 705 7 times with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 679 from 705 leaves us with 26.
Append the next digit (0) from the dividend to 26 and continue with: 260 / 97

Advancing to step 4:
260 divided by 97 is 2 with a remainder of 66.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
Deduct 194 from 260 and we're left with 66.
Bring next digit (0) of the dividend behind the 66 and repeat the process: 660 / 97

Advancing to step 5:
97 goes into 660 6 times with a remainder of 78.
Write down 6 as next digit of the result. 
Result so far: 726.0
The remainder is 78 after subtracting 582 from 660.
Append the next digit (5) from the dividend to 78 and continue with: 785 / 97

Moving on to step 6:
If we divide 785 by 97, we get 8 and a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 7268.0
Subtract 776 from 785 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
97 can be fit into 90 0 times, resulting in a remainder of 90.
The next digit of our result is 0. 
Result so far: 7268.0
Subtract 0 from 90 to get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

On to step 8:
97 can be fit into 900 9 times, resulting in a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 7268.09
Deduct 873 from 900 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 9:
97 goes into 270 2 times with a remainder of 76.
Record the quotient 2 as the next digit in the result. 
Result so far: 7268.092
Subtracting 194 from 270 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 10:
97 can be fit into 760 7 times, resulting in a remainder of 81.
Write down 7 as next digit of the result. 
Result so far: 7268.0927
Subtract 679 from 760 to get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 11:
810 divided by 97 is 8 with a remainder of 34.
The next digit of our result is 8. 
Result so far: 7268.09278
The remainder is 34 after subtracting 776 from 810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 12:
97 can be fit into 340 3 times, resulting in a remainder of 49.
The number 3 becomes the next digit in our result. 
Result so far: 7268.092783
If we subtract 291 from 340, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 13:
The number 97 fits into 490 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 7268.0927835
Deduct 485 from 490 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
If we divide 50 by 97, we get 0 and a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 7268.0927835
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 7268.0927835 with a balance of 5e-08.