We're dividing 142669 by 55 
The aim is to understand the frequency of 55 in 142669.

Let's proceed to step 1:
If we divide 1 by 55, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 55

Advancing to step 2:
The number 55 fits into 14 0 times, leaving a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 55

Going ahead to step 3:
When dividing 142 by 55, we get 2 with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 32 after subtracting 110 from 142.
Append the next digit (6) from the dividend to 32 and continue with: 326 / 55

Moving on to step 4:
326 divided by 55 is 5 with a remainder of 51.
Write down 5 as next digit of the result. 
Result so far: 25.0
If we subtract 275 from 326, we get 51.
Grab the next digit (6) from the dividend, add it to 51, then carry on: 516 / 55

Advancing to step 5:
When dividing 516 by 55, we get 9 with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 259.0
Subtracting 495 from 516 leaves us with 21.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 55

Let's proceed to step 6:
If we divide 219 by 55, we get 3 and a remainder of 54.
Use 3 as the next digit of our solution. 
Result so far: 2593.0
If we subtract 165 from 219, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 7:
The number 55 fits into 540 9 times, leaving a remainder of 45.
The number 9 becomes the next digit in our result. 
Result so far: 2593.9
If we subtract 495 from 540, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 8:
If we divide 450 by 55, we get 8 and a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 2593.98
The remainder is 10 after subtracting 440 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
100 divided by 55 is 1 with a remainder of 45.
The next digit of our result is 1. 
Result so far: 2593.981
Subtract 55 from 100 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 10:
If we divide 450 by 55, we get 8 and a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 2593.9818
Subtracting 440 from 450 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
If we divide 100 by 55, we get 1 and a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 2593.98181
Subtract 55 from 100 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 12:
55 can be fit into 450 8 times, resulting in a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 2593.981818
If we take 440 away from 450, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 13:
The number 55 fits into 100 1 times, leaving a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 2593.9818181
If we subtract 55 from 100, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 14:
55 goes into 450 8 times with a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 2593.98181818
Subtract 440 from 450 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 2593.98181818 with a balance of 1e-08.