5588269 divided by 511 
The aim is to understand the frequency of 511 in 5588269.

Step 1:
511 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 511

Moving on to step 2:
When dividing 55 by 511, we get 0 with a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Take the next digit (8) from the dividend and append it to 55, then repeat: 558 / 511

Let's proceed to step 3:
When dividing 558 by 511, we get 1 with a remainder of 47.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 511 from 558, we get 47.
Grab the next digit (8) from the dividend, add it to 47, then carry on: 478 / 511

Going ahead to step 4:
478 divided by 511 is 0 with a remainder of 478.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 478 after subtracting 0 from 478.
Append the next digit (2) from the dividend to 478 and continue with: 4782 / 511

On to step 5:
The number 511 fits into 4782 9 times, leaving a remainder of 183.
Record the quotient 9 as the next digit in the result. 
Result so far: 109.0
If we take 4599 away from 4782, we end up with 183.
Bring next digit (6) of the dividend behind the 183 and repeat the process: 1836 / 511

Step 6:
1836 divided by 511 is 3 with a remainder of 303.
Record the quotient 3 as the next digit in the result. 
Result so far: 1093.0
If we subtract 1533 from 1836, we get 303.
Fetch the next digit (9) from the dividend, attach it to 303 and continue: 3039 / 511

Let's proceed to step 7:
The number 511 fits into 3039 5 times, leaving a remainder of 484.
The next digit of our result is 5. 
Result so far: 10935.0
The remainder is 484 after subtracting 2555 from 3039.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4840, and continue the process.

Step 8:
If we divide 4840 by 511, we get 9 and a remainder of 241.
Put 9 as the next digit of the answer. 
Result so far: 10935.9
If we take 4599 away from 4840, we end up with 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2410, and continue the process.

Advancing to step 9:
When dividing 2410 by 511, we get 4 with a remainder of 366.
Put 4 as the next digit of the answer. 
Result so far: 10935.94
The remainder is 366 after subtracting 2044 from 2410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Step 10:
If we divide 3660 by 511, we get 7 and a remainder of 83.
The number 7 becomes the next digit in our result. 
Result so far: 10935.947
The remainder is 83 after subtracting 3577 from 3660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Let's proceed to step 11:
When dividing 830 by 511, we get 1 with a remainder of 319.
Put 1 as the next digit of the answer. 
Result so far: 10935.9471
If we take 511 away from 830, we end up with 319.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3190, and continue the process.

Moving on to step 12:
When dividing 3190 by 511, we get 6 with a remainder of 124.
Use 6 as the next digit of our solution. 
Result so far: 10935.94716
Subtract 3066 from 3190 to get 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Let's proceed to step 13:
If we divide 1240 by 511, we get 2 and a remainder of 218.
Record the quotient 2 as the next digit in the result. 
Result so far: 10935.947162
Subtract 1022 from 1240 to get 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

Going ahead to step 14:
The number 511 fits into 2180 4 times, leaving a remainder of 136.
Record the quotient 4 as the next digit in the result. 
Result so far: 10935.9471624
The remainder is 136 after subtracting 2044 from 2180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

On to step 15:
511 can be fit into 1360 2 times, resulting in a remainder of 338.
Put 2 as the next digit of the answer. 
Result so far: 10935.94716242
If we subtract 1022 from 1360, we get 338.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3380, and continue the process.

The final outcome is 10935.94716242, with a leftover of 3.38e-07.