We're dividing 87258 by 11 
The aim is to understand the frequency of 11 in 87258.

Step 1:
The number 11 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (7) from the dividend to 8 and continue with: 87 / 11

Going ahead to step 2:
When dividing 87 by 11, we get 7 with a remainder of 10.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 77 from 87, we get 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 11

Moving on to step 3:
11 can be fit into 102 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 79.0
Deduct 99 from 102 and we're left with 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 11

Let's proceed to step 4:
When dividing 35 by 11, we get 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 793.0
If we subtract 33 from 35, we get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 11

Moving on to step 5:
If we divide 28 by 11, we get 2 and a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 7932.0
Subtract 22 from 28 to get 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 6:
If we divide 60 by 11, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 7932.5
If we take 55 away from 60, we end up 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.

Advancing to step 7:
The number 11 fits into 50 4 times, leaving a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 7932.54
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.

Let's proceed to step 8:
11 goes into 60 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 7932.545
Subtract 55 from 60 to 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.

Let's proceed to step 9:
If we divide 50 by 11, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 7932.5454
If we subtract 44 from 50, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
When dividing 60 by 11, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 7932.54545
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.

Moving on to step 11:
If we divide 50 by 11, we get 4 and a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 7932.545454
Subtract 44 from 50 to get 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 12:
The number 11 fits into 60 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 7932.5454545
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.

Moving on to step 13:
50 divided by 11 is 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 7932.54545454
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.

In conclusion, the division gives 7932.54545454 with a balance of 6e-09.