689145 divided by 97 
The aim is to understand the frequency of 97 in 689145.

Going ahead to step 1:
6 divided by 97 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 97

Step 2:
68 divided by 97 is 0 with a remainder of 68.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 68, we end up with 68.
Include the next digit (9) from the dividend after 68, then repeat: 689 / 97

Moving on to step 3:
The number 97 fits into 689 7 times, leaving a remainder of 10.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 679 from 689 leaves us with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 97

Advancing to step 4:
If we divide 101 by 97, we get 1 and a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 71.0
If we take 97 away from 101, we end up with 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 97

Moving on to step 5:
The number 97 fits into 44 0 times, leaving a remainder of 44.
The next digit of our result is 0. 
Result so far: 710.0
Deduct 0 from 44 and we're left with 44.
Include the next digit (5) from the dividend after 44, then repeat: 445 / 97

Moving on to step 6:
When dividing 445 by 97, we get 4 with a remainder of 57.
The number 4 becomes the next digit in our result. 
Result so far: 7104.0
If we subtract 388 from 445, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 7:
97 can be fit into 570 5 times, resulting in a remainder of 85.
The number 5 becomes the next digit in our result. 
Result so far: 7104.5
If we subtract 485 from 570, we get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

On to step 8:
The number 97 fits into 850 8 times, leaving a remainder of 74.
The next digit of our result is 8. 
Result so far: 7104.58
If we subtract 776 from 850, we get 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 9:
The number 97 fits into 740 7 times, leaving a remainder of 61.
Use 7 as the next digit of our solution. 
Result so far: 7104.587
Deduct 679 from 740 and we're left 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.

On to step 10:
If we divide 610 by 97, we get 6 and a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 7104.5876
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 11:
The number 97 fits into 280 2 times, leaving a remainder of 86.
The number 2 becomes the next digit in our result. 
Result so far: 7104.58762
Deduct 194 from 280 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 12:
97 goes into 860 8 times with a remainder of 84.
Put 8 as the next digit of the answer. 
Result so far: 7104.587628
The remainder is 84 after subtracting 776 from 860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 13:
840 divided by 97 is 8 with a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 7104.5876288
The remainder is 64 after subtracting 776 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final outcome is 7104.5876288, with a leftover of 6.4e-07.