We're dividing 177829 by 11 
The aim is to understand the frequency of 11 in 177829.

Step 1:
1 divided by 11 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 11

Going ahead to step 2:
The number 11 fits into 17 1 times, leaving a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 11 from 17 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 11

Going ahead to step 3:
The number 11 fits into 67 6 times, leaving a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Subtract 66 from 67 to get 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 11

On to step 4:
When dividing 18 by 11, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 161.0
Subtracting 11 from 18 leaves us with 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 11

Moving on to step 5:
If we divide 72 by 11, we get 6 and a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 1616.0
If we take 66 away from 72, we end up with 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 11

Moving on to step 6:
11 can be fit into 69 6 times, resulting in a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 16166.0
If we subtract 66 from 69, we 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.

Step 7:
When dividing 30 by 11, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 16166.2
If we subtract 22 from 30, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
11 goes into 80 7 times with a remainder of 3.
The next digit of our result is 7. 
Result so far: 16166.27
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 9:
11 goes into 30 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 16166.272
If we take 22 away from 30, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
The number 11 fits into 80 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 16166.2727
If we subtract 77 from 80, we 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.

Moving on to step 11:
When dividing 30 by 11, we get 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 16166.27272
The remainder is 8 after subtracting 22 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
If we divide 80 by 11, we get 7 and a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 16166.272727
If we take 77 away from 80, we end up with 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 13:
When dividing 30 by 11, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 16166.2727272
Subtracting 22 from 30 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 14:
11 can be fit into 80 7 times, resulting in a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 16166.27272727
Subtract 77 from 80 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.

The quotient of the division is 16166.27272727, and the remainder is 3e-09.