688257 ÷ 11 
The aim is to understand the frequency of 11 in 688257.

Moving on to step 1:
When dividing 6 by 11, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 11

Advancing to step 2:
If we divide 68 by 11, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we subtract 66 from 68, we get 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 11

Going ahead to step 3:
11 goes into 28 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
The remainder is 6 after subtracting 22 from 28.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 11

Moving on to step 4:
When dividing 62 by 11, we get 5 with a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 625.0
The remainder is 7 after subtracting 55 from 62.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 11

Advancing to step 5:
75 divided by 11 is 6 with a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 6256.0
If we subtract 66 from 75, we get 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 11

On to step 6:
When dividing 97 by 11, we get 8 with a remainder of 9.
Record the quotient 8 as the next digit in the result. 
Result so far: 62568.0
Subtract 88 from 97 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
90 divided by 11 is 8 with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 62568.8
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 11, we get 1 with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 62568.81
Deduct 11 from 20 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
When dividing 90 by 11, we get 8 with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 62568.818
If we subtract 88 from 90, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 10:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 62568.8181
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 11:
The number 11 fits into 90 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 62568.81818
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 62568.818181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 13:
When dividing 90 by 11, we get 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 62568.8181818
If we subtract 88 from 90, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
11 goes into 20 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 62568.81818181
Subtracting 11 from 20 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 62568.81818181 with a balance of 9e-09.