309429 divided by 55 
The aim is to understand the frequency of 55 in 309429.

Step 1:
55 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 55

Advancing to step 2:
30 divided by 55 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 30, we get 30.
Include the next digit (9) from the dividend after 30, then repeat: 309 / 55

Going ahead to step 3:
If we divide 309 by 55, we get 5 and a remainder of 34.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 275 from 309 leaves us with 34.
Bring next digit (4) of the dividend behind the 34 and repeat the process: 344 / 55

Let's proceed to step 4:
55 can be fit into 344 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 56.0
The remainder is 14 after subtracting 330 from 344.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 55

Going ahead to step 5:
If we divide 142 by 55, we get 2 and a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 562.0
If we take 110 away from 142, we end up with 32.
Include the next digit (9) from the dividend after 32, then repeat: 329 / 55

Let's proceed to step 6:
When dividing 329 by 55, we get 5 with a remainder of 54.
The next digit of our result is 5. 
Result so far: 5625.0
Subtracting 275 from 329 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 7:
540 divided by 55 is 9 with a remainder of 45.
Record the quotient 9 as the next digit in the result. 
Result so far: 5625.9
Subtract 495 from 540 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 8:
55 can be fit into 450 8 times, resulting in a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 5625.98
Deduct 440 from 450 and we're left 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.

Moving on to step 9:
100 divided by 55 is 1 with a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 5625.981
Subtracting 55 from 100 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 10:
If we divide 450 by 55, we get 8 and a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 5625.9818
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.

Moving on to step 11:
55 can be fit into 100 1 times, resulting in a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 5625.98181
The remainder is 45 after subtracting 55 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 12:
55 goes into 450 8 times with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 5625.981818
If we subtract 440 from 450, we 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.

Let's proceed to step 13:
When dividing 100 by 55, we get 1 with a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 5625.9818181
The remainder is 45 after subtracting 55 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 14:
55 goes into 450 8 times with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 5625.98181818
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.

The final result is 5625.98181818 with a remainder of 1e-08.