We're dividing 437681 by 11 
The aim is to understand the frequency of 11 in 437681.

Step 1:
11 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 11

Step 2:
11 can be fit into 43 3 times, resulting in a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 33 away from 43, we end up with 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 11

On to step 3:
11 goes into 107 9 times with a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 39.0
The remainder is 8 after subtracting 99 from 107.
Append the next digit (6) from the dividend to 8 and continue with: 86 / 11

Let's proceed to step 4:
11 can be fit into 86 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 397.0
If we take 77 away from 86, we end up with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 11

Moving on to step 5:
98 divided by 11 is 8 with a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 3978.0
Deduct 88 from 98 and we're left with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 11

Let's proceed to step 6:
11 goes into 101 9 times with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 39789.0
Subtract 99 from 101 to 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.

Let's proceed to step 7:
20 divided by 11 is 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 39789.1
If we take 11 away from 20, we end up 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.

On to step 8:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 39789.18
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.

Advancing to step 9:
If we divide 20 by 11, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 39789.181
The remainder is 9 after subtracting 11 from 20.
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 10:
90 divided by 11 is 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 39789.1818
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 11:
11 goes into 20 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 39789.18181
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 12:
When dividing 90 by 11, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 39789.181818
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 13:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 39789.1818181
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.

Step 14:
The number 11 fits into 90 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 39789.18181818
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 39789.18181818, and the remainder is 2e-09.