We look at the division of 558589 by 55 
The aim is to understand the frequency of 55 in 558589.

Step 1:
When dividing 5 by 55, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 55

Advancing to step 2:
The number 55 fits into 55 1 times, leaving a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 55 away from 55, we end up with 0.
Grab the next digit (8) from the dividend, add it to 0, then carry on: 8 / 55

Step 3:
55 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 8 to get 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 55

Let's proceed to step 4:
When dividing 85 by 55, we get 1 with a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
Subtract 55 from 85 to get 30.
Bring next digit (8) of the dividend behind the 30 and repeat the process: 308 / 55

Let's proceed to step 5:
55 can be fit into 308 5 times, resulting in a remainder of 33.
The number 5 becomes the next digit in our result. 
Result so far: 1015.0
If we take 275 away from 308, we end up with 33.
Include the next digit (9) from the dividend after 33, then repeat: 339 / 55

On to step 6:
When dividing 339 by 55, we get 6 with a remainder of 9.
The next digit of our result is 6. 
Result so far: 10156.0
The remainder is 9 after subtracting 330 from 339.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
55 goes into 90 1 times with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 10156.1
Deduct 55 from 90 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
The number 55 fits into 350 6 times, leaving a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 10156.16
Subtracting 330 from 350 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
55 can be fit into 200 3 times, resulting in a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 10156.163
The remainder is 35 after subtracting 165 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 10:
The number 55 fits into 350 6 times, leaving a remainder of 20.
The next digit of our result is 6. 
Result so far: 10156.1636
Subtracting 330 from 350 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 11:
55 goes into 200 3 times with a remainder of 35.
The number 3 becomes the next digit in our result. 
Result so far: 10156.16363
If we subtract 165 from 200, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 12:
55 goes into 350 6 times with a remainder of 20.
The next digit of our result is 6. 
Result so far: 10156.163636
Deduct 330 from 350 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
200 divided by 55 is 3 with a remainder of 35.
Put 3 as the next digit of the answer. 
Result so far: 10156.1636363
Subtracting 165 from 200 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 14:
When dividing 350 by 55, we get 6 with a remainder of 20.
Write down 6 as next digit of the result. 
Result so far: 10156.16363636
Subtract 330 from 350 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 10156.16363636 with a remainder of 2e-08.