We're dividing 471576 by 97 
The aim is to understand the frequency of 97 in 471576.

Step 1:
If we divide 4 by 97, we get 0 and a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 97

Going ahead to step 2:
47 divided by 97 is 0 with a remainder of 47.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 47, we get 47.
Bring next digit (1) of the dividend behind the 47 and repeat the process: 471 / 97

Moving on to step 3:
471 divided by 97 is 4 with a remainder of 83.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 388 from 471 and we're left with 83.
Grab the next digit (5) from the dividend, add it to 83, then carry on: 835 / 97

Let's proceed to step 4:
When dividing 835 by 97, we get 8 with a remainder of 59.
Use 8 as the next digit of our solution. 
Result so far: 48.0
Subtracting 776 from 835 leaves us with 59.
Append the next digit (7) from the dividend to 59 and continue with: 597 / 97

Advancing to step 5:
When dividing 597 by 97, we get 6 with a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 486.0
If we take 582 away from 597, we end up with 15.
Append the next digit (6) from the dividend to 15 and continue with: 156 / 97

On to step 6:
156 divided by 97 is 1 with a remainder of 59.
The next digit of our result is 1. 
Result so far: 4861.0
Deduct 97 from 156 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 7:
The number 97 fits into 590 6 times, leaving a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 4861.6
Deduct 582 from 590 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
80 divided by 97 is 0 with a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 4861.6
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 9:
The number 97 fits into 800 8 times, leaving a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 4861.608
Deduct 776 from 800 and we're left 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.

Going ahead to step 10:
97 goes into 240 2 times with a remainder of 46.
The next digit of our result is 2. 
Result so far: 4861.6082
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.

Let's proceed to step 11:
The number 97 fits into 460 4 times, leaving a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 4861.60824
Subtract 388 from 460 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 12:
720 divided by 97 is 7 with a remainder of 41.
The next digit of our result is 7. 
Result so far: 4861.608247
Deduct 679 from 720 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 13:
97 can be fit into 410 4 times, resulting in a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 4861.6082474
If we take 388 away from 410, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 14:
When dividing 220 by 97, we get 2 with a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 4861.60824742
Subtracting 194 from 220 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 4861.60824742 with a remainder of 2.6e-08.