10838684 ÷ 9 
The aim is to understand the frequency of 9 in 10838684.

Step 1:
If we divide 1 by 9, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 9

Step 2:
9 can be fit into 10 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 9 from 10 to get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 9

Advancing to step 3:
9 goes into 18 2 times with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Deduct 18 from 18 and we're left with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 9

Moving on to step 4:
When dividing 3 by 9, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 120.0
Subtract 0 from 3 to get 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 9

On to step 5:
38 divided by 9 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 1204.0
Subtract 36 from 38 to get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 9

Advancing to step 6:
9 can be fit into 26 2 times, resulting in a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 12042.0
Deduct 18 from 26 and we're left with 8.
Fetch the next digit (8) from the dividend, attach it to 8 and continue: 88 / 9

On to step 7:
9 can be fit into 88 9 times, resulting in a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 120429.0
If we subtract 81 from 88, we get 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 9

Step 8:
If we divide 74 by 9, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 1204298.0
If we subtract 72 from 74, 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.

Moving on to step 9:
9 can be fit into 20 2 times, resulting in a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 1204298.2
The remainder is 2 after subtracting 18 from 20.
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 10:
20 divided by 9 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 1204298.22
Subtract 18 from 20 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.

The final result is 1204298.22 with a remainder of 0.002.