Let's divide 543675 by 97
The aim is to understand the frequency of 97 in 543675.

Advancing to step 1:
If we divide 5 by 97, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 97

Let's proceed to step 2:
97 goes into 54 0 times with a remainder of 54.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 54, we get 54.
Fetch the next digit (3) from the dividend, attach it to 54 and continue: 543 / 97

On to step 3:
The number 97 fits into 543 5 times, leaving a remainder of 58.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 485 from 543 and we're left with 58.
Append the next digit (6) from the dividend to 58 and continue with: 586 / 97

Advancing to step 4:
When dividing 586 by 97, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 56.0
If we subtract 582 from 586, we get 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 97

Moving on to step 5:
If we divide 47 by 97, we get 0 and a remainder of 47.
Put 0 as the next digit of the answer. 
Result so far: 560.0
If we take 0 away from 47, we end up with 47.
Grab the next digit (5) from the dividend, add it to 47, then carry on: 475 / 97

On to step 6:
475 divided by 97 is 4 with a remainder of 87.
The next digit of our result is 4. 
Result so far: 5604.0
If we take 388 away from 475, we end up with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Going ahead to step 7:
The number 97 fits into 870 8 times, leaving a remainder of 94.
Record the quotient 8 as the next digit in the result. 
Result so far: 5604.8
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.

Going ahead to step 8:
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: 5604.89
If we subtract 873 from 940, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 9:
670 divided by 97 is 6 with a remainder of 88.
Put 6 as the next digit of the answer. 
Result so far: 5604.896
The remainder is 88 after subtracting 582 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Advancing to step 10:
When dividing 880 by 97, we get 9 with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 5604.8969
Subtracting 873 from 880 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 11:
70 divided by 97 is 0 with a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 5604.8969
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.

Step 12:
97 can be fit into 700 7 times, resulting in a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 5604.896907
Subtracting 679 from 700 leaves us 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.

Step 13:
97 goes into 210 2 times with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 5604.8969072
Subtracting 194 from 210 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 14:
160 divided by 97 is 1 with a remainder of 63.
The next digit of our result is 1. 
Result so far: 5604.89690721
Deduct 97 from 160 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

After the division, we end up with 5604.89690721 and a remainder of 6.3e-08.