97157 ÷ 55 
The aim is to understand the frequency of 55 in 97157.

Advancing to step 1:
The number 55 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (7) of the dividend behind the 9 and repeat the process: 97 / 55

Step 2:
97 divided by 55 is 1 with a remainder of 42.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 55 from 97 to get 42.
Grab the next digit (1) from the dividend, add it to 42, then carry on: 421 / 55

Let's proceed to step 3:
When dividing 421 by 55, we get 7 with a remainder of 36.
Use 7 as the next digit of our solution. 
Result so far: 17.0
The remainder is 36 after subtracting 385 from 421.
Append the next digit (5) from the dividend to 36 and continue with: 365 / 55

Let's proceed to step 4:
When dividing 365 by 55, we get 6 with a remainder of 35.
Write down 6 as next digit of the result. 
Result so far: 176.0
Subtract 330 from 365 to get 35.
Bring next digit (7) of the dividend behind the 35 and repeat the process: 357 / 55

Step 5:
When dividing 357 by 55, we get 6 with a remainder of 27.
Write down 6 as next digit of the result. 
Result so far: 1766.0
If we take 330 away from 357, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 6:
The number 55 fits into 270 4 times, leaving a remainder of 50.
The number 4 becomes the next digit in our result. 
Result so far: 1766.4
If we subtract 220 from 270, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 7:
55 can be fit into 500 9 times, resulting in a remainder of 5.
The next digit of our result is 9. 
Result so far: 1766.49
If we subtract 495 from 500, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
The number 55 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 1766.49
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
When dividing 500 by 55, we get 9 with a remainder of 5.
The next digit of our result is 9. 
Result so far: 1766.4909
Subtract 495 from 500 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
55 goes into 50 0 times with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 1766.4909
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 11:
55 can be fit into 500 9 times, resulting in a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 1766.490909
Deduct 495 from 500 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
When dividing 50 by 55, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 1766.490909
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 13:
If we divide 500 by 55, we get 9 and a remainder of 5.
The next digit of our result is 9. 
Result so far: 1766.49090909
Subtracting 495 from 500 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final outcome is 1766.49090909, with a leftover of 5e-09.