We look at the division of 35627289 by 553 
The aim is to understand the frequency of 553 in 35627289.

Going ahead to step 1:
When dividing 3 by 553, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 553

On to step 2:
The number 553 fits into 35 0 times, leaving a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Append the next digit (6) from the dividend to 35 and continue with: 356 / 553

Step 3:
553 goes into 356 0 times with a remainder of 356.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 356 after subtracting 0 from 356.
Bring next digit (2) of the dividend behind the 356 and repeat the process: 3562 / 553

On to step 4:
553 goes into 3562 6 times with a remainder of 244.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 3318 from 3562 to get 244.
Take the next digit (7) from the dividend and append it to 244, then repeat: 2447 / 553

Going ahead to step 5:
2447 divided by 553 is 4 with a remainder of 235.
Write down 4 as next digit of the result. 
Result so far: 64.0
Subtracting 2212 from 2447 leaves us with 235.
Take the next digit (2) from the dividend and append it to 235, then repeat: 2352 / 553

Step 6:
The number 553 fits into 2352 4 times, leaving a remainder of 140.
Record the quotient 4 as the next digit in the result. 
Result so far: 644.0
Subtracting 2212 from 2352 leaves us with 140.
Include the next digit (8) from the dividend after 140, then repeat: 1408 / 553

Let's proceed to step 7:
The number 553 fits into 1408 2 times, leaving a remainder of 302.
The number 2 becomes the next digit in our result. 
Result so far: 6442.0
The remainder is 302 after subtracting 1106 from 1408.
Include the next digit (9) from the dividend after 302, then repeat: 3029 / 553

Let's proceed to step 8:
553 goes into 3029 5 times with a remainder of 264.
Use 5 as the next digit of our solution. 
Result so far: 64425.0
If we subtract 2765 from 3029, we get 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Moving on to step 9:
553 can be fit into 2640 4 times, resulting in a remainder of 428.
The next digit of our result is 4. 
Result so far: 64425.4
Subtract 2212 from 2640 to get 428.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4280, and continue the process.

Advancing to step 10:
When dividing 4280 by 553, we get 7 with a remainder of 409.
Use 7 as the next digit of our solution. 
Result so far: 64425.47
Subtracting 3871 from 4280 leaves us with 409.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4090, and continue the process.

Step 11:
If we divide 4090 by 553, we get 7 and a remainder of 219.
The number 7 becomes the next digit in our result. 
Result so far: 64425.477
Subtracting 3871 from 4090 leaves us with 219.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2190, and continue the process.

The quotient of the division is 64425.477, and the remainder is 0.0219.