We're dividing 558360 by 144 
The aim is to understand the frequency of 144 in 558360.

Step 1:
144 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 144

Let's proceed to step 2:
When dividing 55 by 144, we get 0 with a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Append the next digit (8) from the dividend to 55 and continue with: 558 / 144

Moving on to step 3:
When dividing 558 by 144, we get 3 with a remainder of 126.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 126 after subtracting 432 from 558.
Include the next digit (3) from the dividend after 126, then repeat: 1263 / 144

On to step 4:
1263 divided by 144 is 8 with a remainder of 111.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
Deduct 1152 from 1263 and we're left with 111.
Include the next digit (6) from the dividend after 111, then repeat: 1116 / 144

Advancing to step 5:
If we divide 1116 by 144, we get 7 and a remainder of 108.
Record the quotient 7 as the next digit in the result. 
Result so far: 387.0
Deduct 1008 from 1116 and we're left with 108.
Take the next digit (0) from the dividend and append it to 108, then repeat: 1080 / 144

Let's proceed to step 6:
144 goes into 1080 7 times with a remainder of 72.
The number 7 becomes the next digit in our result. 
Result so far: 3877.0
Subtracting 1008 from 1080 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 7:
If we divide 720 by 144, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 3877.5
Deduct 720 from 720 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
If we divide 0 by 144, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 3877.5
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
0 divided by 144 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 3877.5
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 3877.5 with a remaining 0.0.