906174 ÷ 11 
The aim is to understand the frequency of 11 in 906174.

Let's proceed to step 1:
11 goes into 9 0 times with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (0) from the dividend after 9, then repeat: 90 / 11

Let's proceed to step 2:
The number 11 fits into 90 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 8.0
If we subtract 88 from 90, we get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 11

Step 3:
The number 11 fits into 26 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
The remainder is 4 after subtracting 22 from 26.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 11

On to step 4:
The number 11 fits into 41 3 times, leaving a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 823.0
Subtracting 33 from 41 leaves us with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 11

Step 5:
11 goes into 87 7 times with a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 8237.0
Subtracting 77 from 87 leaves us with 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 11

Let's proceed to step 6:
104 divided by 11 is 9 with a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 82379.0
Deduct 99 from 104 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 7:
11 can be fit into 50 4 times, resulting in a remainder of 6.
The next digit of our result is 4. 
Result so far: 82379.4
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.

Step 8:
The number 11 fits into 60 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 82379.45
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.

On to step 9:
11 can be fit into 50 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 82379.454
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.

On to step 10:
When dividing 60 by 11, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 82379.4545
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 11:
50 divided by 11 is 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 82379.45454
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 12:
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: 82379.454545
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 13:
50 divided by 11 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 82379.4545454
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.

Moving on to step 14:
When dividing 60 by 11, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 82379.45454545
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.

The quotient of the division is 82379.45454545, and the remainder is 5e-09.