677641 divided by 97 
The aim is to understand the frequency of 97 in 677641.

Advancing to step 1:
6 divided by 97 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 97

Advancing to step 2:
97 can be fit into 67 0 times, resulting in a remainder of 67.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 67 to get 67.
Fetch the next digit (7) from the dividend, attach it to 67 and continue: 677 / 97

Let's proceed to step 3:
677 divided by 97 is 6 with a remainder of 95.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 582 from 677 leaves us with 95.
Grab the next digit (6) from the dividend, add it to 95, then carry on: 956 / 97

On to step 4:
The number 97 fits into 956 9 times, leaving a remainder of 83.
The next digit of our result is 9. 
Result so far: 69.0
Subtracting 873 from 956 leaves us with 83.
Take the next digit (4) from the dividend and append it to 83, then repeat: 834 / 97

Let's proceed to step 5:
97 can be fit into 834 8 times, resulting in a remainder of 58.
Record the quotient 8 as the next digit in the result. 
Result so far: 698.0
Deduct 776 from 834 and we're left with 58.
Bring next digit (1) of the dividend behind the 58 and repeat the process: 581 / 97

Moving on to step 6:
When dividing 581 by 97, we get 5 with a remainder of 96.
The next digit of our result is 5. 
Result so far: 6985.0
The remainder is 96 after subtracting 485 from 581.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Advancing to step 7:
If we divide 960 by 97, we get 9 and a remainder of 87.
Write down 9 as next digit of the result. 
Result so far: 6985.9
If we subtract 873 from 960, we get 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Step 8:
97 goes into 870 8 times with a remainder of 94.
Record the quotient 8 as the next digit in the result. 
Result so far: 6985.98
If we subtract 776 from 870, we get 94.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Moving on to step 9:
When dividing 940 by 97, we get 9 with a remainder of 67.
Record the quotient 9 as the next digit in the result. 
Result so far: 6985.989
If we take 873 away from 940, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 10:
If we divide 670 by 97, we get 6 and a remainder of 88.
The next digit of our result is 6. 
Result so far: 6985.9896
If we subtract 582 from 670, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Going ahead to step 11:
When dividing 880 by 97, we get 9 with a remainder of 7.
The next digit of our result is 9. 
Result so far: 6985.98969
Subtract 873 from 880 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 12:
70 divided by 97 is 0 with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 6985.98969
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 13:
700 divided by 97 is 7 with a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 6985.9896907
Deduct 679 from 700 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 14:
97 can be fit into 210 2 times, resulting in a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 6985.98969072
If we subtract 194 from 210, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final outcome is 6985.98969072, with a leftover of 1.6e-08.