657607 ÷ 97 
The aim is to understand the frequency of 97 in 657607.

Let's proceed to step 1:
97 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 97

Step 2:
97 can be fit into 65 0 times, resulting in a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 65 to get 65.
Fetch the next digit (7) from the dividend, attach it to 65 and continue: 657 / 97

Advancing to step 3:
When dividing 657 by 97, we get 6 with a remainder of 75.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 582 from 657, we get 75.
Bring next digit (6) of the dividend behind the 75 and repeat the process: 756 / 97

On to step 4:
756 divided by 97 is 7 with a remainder of 77.
Write down 7 as next digit of the result. 
Result so far: 67.0
If we subtract 679 from 756, we get 77.
Bring next digit (0) of the dividend behind the 77 and repeat the process: 770 / 97

Let's proceed to step 5:
When dividing 770 by 97, we get 7 with a remainder of 91.
The number 7 becomes the next digit in our result. 
Result so far: 677.0
Deduct 679 from 770 and we're left with 91.
Include the next digit (7) from the dividend after 91, then repeat: 917 / 97

Step 6:
917 divided by 97 is 9 with a remainder of 44.
Use 9 as the next digit of our solution. 
Result so far: 6779.0
If we take 873 away from 917, we end up 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.

On to step 7:
When dividing 440 by 97, we get 4 with a remainder of 52.
The next digit of our result is 4. 
Result so far: 6779.4
Subtract 388 from 440 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 8:
If we divide 520 by 97, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 6779.45
Subtracting 485 from 520 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 9:
When dividing 350 by 97, we get 3 with a remainder of 59.
Record the quotient 3 as the next digit in the result. 
Result so far: 6779.453
The remainder is 59 after subtracting 291 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 10:
The number 97 fits into 590 6 times, leaving a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 6779.4536
If we subtract 582 from 590, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
If we divide 80 by 97, we get 0 and a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 6779.4536
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 12:
The number 97 fits into 800 8 times, leaving a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 6779.453608
Subtracting 776 from 800 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 13:
97 goes into 240 2 times with a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 6779.4536082
If we take 194 away from 240, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 14:
If we divide 460 by 97, we get 4 and a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 6779.45360824
If we take 388 away from 460, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Our division results in 6779.45360824 with a remaining 7.2e-08.