81419816 ÷ 969 
The aim is to understand the frequency of 969 in 81419816.

Moving on to step 1:
When dividing 8 by 969, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 969

Step 2:
969 goes into 81 0 times with a remainder of 81.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 81, we get 81.
Include the next digit (4) from the dividend after 81, then repeat: 814 / 969

On to step 3:
If we divide 814 by 969, we get 0 and a remainder of 814.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 814 to get 814.
Take the next digit (1) from the dividend and append it to 814, then repeat: 8141 / 969

Advancing to step 4:
When dividing 8141 by 969, we get 8 with a remainder of 389.
Put 8 as the next digit of the answer. 
Result so far: 8.0
The remainder is 389 after subtracting 7752 from 8141.
Fetch the next digit (9) from the dividend, attach it to 389 and continue: 3899 / 969

Advancing to step 5:
969 can be fit into 3899 4 times, resulting in a remainder of 23.
The next digit of our result is 4. 
Result so far: 84.0
If we take 3876 away from 3899, we end up with 23.
Include the next digit (8) from the dividend after 23, then repeat: 238 / 969

Advancing to step 6:
When dividing 238 by 969, we get 0 with a remainder of 238.
Use 0 as the next digit of our solution. 
Result so far: 840.0
If we subtract 0 from 238, we get 238.
Bring next digit (1) of the dividend behind the 238 and repeat the process: 2381 / 969

On to step 7:
969 goes into 2381 2 times with a remainder of 443.
Record the quotient 2 as the next digit in the result. 
Result so far: 8402.0
The remainder is 443 after subtracting 1938 from 2381.
Take the next digit (6) from the dividend and append it to 443, then repeat: 4436 / 969

Let's proceed to step 8:
If we divide 4436 by 969, we get 4 and a remainder of 560.
The next digit of our result is 4. 
Result so far: 84024.0
If we take 3876 away from 4436, we end up with 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

Step 9:
969 goes into 5600 5 times with a remainder of 755.
Put 5 as the next digit of the answer. 
Result so far: 84024.5
Subtract 4845 from 5600 to get 755.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7550, and continue the process.

Let's proceed to step 10:
If we divide 7550 by 969, we get 7 and a remainder of 767.
The number 7 becomes the next digit in our result. 
Result so far: 84024.57
The remainder is 767 after subtracting 6783 from 7550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7670, and continue the process.

Step 11:
When dividing 7670 by 969, we get 7 with a remainder of 887.
Use 7 as the next digit of our solution. 
Result so far: 84024.577
If we subtract 6783 from 7670, we get 887.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8870, and continue the process.

After the division, we end up with 84024.577 and a remainder of 0.0887.