We're dividing 587758 by 11 
The aim is to understand the frequency of 11 in 587758.

Let's proceed to step 1:
If we divide 5 by 11, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 11

On to step 2:
When dividing 58 by 11, we get 5 with a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 55 from 58, we get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 11

On to step 3:
The number 11 fits into 37 3 times, leaving a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
The remainder is 4 after subtracting 33 from 37.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 11

Let's proceed to step 4:
If we divide 47 by 11, we get 4 and a remainder of 3.
The next digit of our result is 4. 
Result so far: 534.0
If we subtract 44 from 47, we get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 11

On to step 5:
If we divide 35 by 11, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 5343.0
The remainder is 2 after subtracting 33 from 35.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 11

Step 6:
28 divided by 11 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 53432.0
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 7:
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: 53432.5
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.

Going ahead to step 8:
50 divided by 11 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 53432.54
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.

Going ahead to step 9:
The number 11 fits into 60 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 53432.545
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.

Going ahead to step 10:
The number 11 fits into 50 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 53432.5454
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.

Advancing to step 11:
11 can be fit into 60 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 53432.54545
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.

Advancing to step 12:
When dividing 50 by 11, we get 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 53432.545454
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.

Advancing to step 13:
11 can be fit into 60 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 53432.5454545
Subtracting 55 from 60 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.

Advancing to step 14:
11 goes into 50 4 times with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 53432.54545454
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.

The final outcome is 53432.54545454, with a leftover of 6e-09.