11638 divided by 55 
The aim is to understand the frequency of 55 in 11638.

Let's proceed to step 1:
1 divided by 55 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 55

Advancing to step 2:
55 can be fit into 11 0 times, resulting in a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 55

Step 3:
When dividing 116 by 55, we get 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 6 after subtracting 110 from 116.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 55

Step 4:
55 goes into 63 1 times with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Deduct 55 from 63 and we're left with 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 55

Going ahead to step 5:
55 goes into 88 1 times with a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 211.0
Subtracting 55 from 88 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 6:
55 goes into 330 6 times with a remainder of 0.
The next digit of our result is 6. 
Result so far: 211.6
If we take 330 away from 330, 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.

On to step 7:
When dividing 0 by 55, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 211.6
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.

Step 8:
The number 55 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 211.6
Deduct 0 from 0 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.

Our division results in 211.6 with a remaining 0.0.