91657 ÷ 11 
The aim is to understand the frequency of 11 in 91657.

Moving on to step 1:
9 divided by 11 is 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 11

Going ahead to step 2:
11 can be fit into 91 8 times, resulting in a remainder of 3.
The next digit of our result is 8. 
Result so far: 8.0
If we take 88 away from 91, we end up with 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 11

Moving on to step 3:
11 can be fit into 36 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 83.0
If we take 33 away from 36, we end up with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 11

Step 4:
When dividing 35 by 11, we get 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 833.0
Subtracting 33 from 35 leaves us with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 11

Advancing to step 5:
27 divided by 11 is 2 with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 8332.0
Subtracting 22 from 27 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 6:
50 divided by 11 is 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 8332.4
If we take 44 away from 50, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 7:
11 can be fit into 60 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 8332.45
Deduct 55 from 60 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 8332.454
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
60 divided by 11 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 8332.4545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
If we divide 50 by 11, we get 4 and a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 8332.45454
Deduct 44 from 50 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 11:
11 can be fit into 60 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 8332.454545
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
When dividing 50 by 11, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 8332.4545454
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 8332.45454545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 8332.45454545 with a balance of 5e-09.