11086644 ÷ 153 
The aim is to understand the frequency of 153 in 11086644.

Advancing to step 1:
153 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 153

Advancing to step 2:
11 divided by 153 is 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Include the next digit (0) from the dividend after 11, then repeat: 110 / 153

Step 3:
110 divided by 153 is 0 with a remainder of 110.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 110 leaves us with 110.
Fetch the next digit (8) from the dividend, attach it to 110 and continue: 1108 / 153

Advancing to step 4:
When dividing 1108 by 153, we get 7 with a remainder of 37.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 37 after subtracting 1071 from 1108.
Fetch the next digit (6) from the dividend, attach it to 37 and continue: 376 / 153

Moving on to step 5:
If we divide 376 by 153, we get 2 and a remainder of 70.
Record the quotient 2 as the next digit in the result. 
Result so far: 72.0
If we take 306 away from 376, we end up with 70.
Grab the next digit (6) from the dividend, add it to 70, then carry on: 706 / 153

Let's proceed to step 6:
153 can be fit into 706 4 times, resulting in a remainder of 94.
Use 4 as the next digit of our solution. 
Result so far: 724.0
If we subtract 612 from 706, we get 94.
Take the next digit (4) from the dividend and append it to 94, then repeat: 944 / 153

Moving on to step 7:
944 divided by 153 is 6 with a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 7246.0
Subtracting 918 from 944 leaves us with 26.
Take the next digit (4) from the dividend and append it to 26, then repeat: 264 / 153

Moving on to step 8:
153 goes into 264 1 times with a remainder of 111.
Record the quotient 1 as the next digit in the result. 
Result so far: 72461.0
Deduct 153 from 264 and we're left with 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

Moving on to step 9:
1110 divided by 153 is 7 with a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 72461.7
Subtracting 1071 from 1110 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 10:
153 can be fit into 390 2 times, resulting in a remainder of 84.
The next digit of our result is 2. 
Result so far: 72461.72
If we take 306 away from 390, we end up with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Let's proceed to step 11:
If we divide 840 by 153, we get 5 and a remainder of 75.
Use 5 as the next digit of our solution. 
Result so far: 72461.725
Subtracting 765 from 840 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 12:
750 divided by 153 is 4 with a remainder of 138.
The next digit of our result is 4. 
Result so far: 72461.7254
Deduct 612 from 750 and we're left with 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Step 13:
153 can be fit into 1380 9 times, resulting in a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 72461.72549
Subtract 1377 from 1380 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 14:
153 can be fit into 30 0 times, resulting in a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 72461.72549
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 15:
300 divided by 153 is 1 with a remainder of 147.
The number 1 becomes the next digit in our result. 
Result so far: 72461.7254901
Deduct 153 from 300 and we're left with 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

Let's proceed to step 16:
153 goes into 1470 9 times with a remainder of 93.
Put 9 as the next digit of the answer. 
Result so far: 72461.72549019
If we subtract 1377 from 1470, we get 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 930, and continue the process.

After the division, we end up with 72461.72549019 and a remainder of 9.3e-08.