We're dividing 457634 by 11 
The aim is to understand the frequency of 11 in 457634.

Let's proceed to step 1:
4 divided by 11 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 11

Advancing to step 2:
45 divided by 11 is 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 44 from 45 and we're left with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 11

Step 3:
17 divided by 11 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
Deduct 11 from 17 and we're left with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 11

Going ahead to step 4:
11 goes into 66 6 times with a remainder of 0.
The next digit of our result is 6. 
Result so far: 416.0
If we take 66 away from 66, we end up with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 11

On to step 5:
The number 11 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 4160.0
If we subtract 0 from 3, we get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 11

On to step 6:
11 can be fit into 34 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 41603.0
The remainder is 1 after subtracting 33 from 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
If we divide 10 by 11, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 41603.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
11 goes into 100 9 times with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 41603.09
Deduct 99 from 100 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
11 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 41603.09
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
11 goes into 100 9 times with a remainder of 1.
The next digit of our result is 9. 
Result so far: 41603.0909
If we subtract 99 from 100, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
11 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 41603.0909
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 12:
11 goes into 100 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 41603.090909
The remainder is 1 after subtracting 99 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 13:
11 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 41603.090909
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 14:
When dividing 100 by 11, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 41603.09090909
If we take 99 away from 100, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 41603.09090909 with a balance of 1e-09.