We're dividing 4188683 by 966 
The aim is to understand the frequency of 966 in 4188683.

Step 1:
When dividing 4 by 966, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 966

Step 2:
966 goes into 41 0 times with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (8) of the dividend behind the 41 and repeat the process: 418 / 966

Going ahead to step 3:
966 can be fit into 418 0 times, resulting in a remainder of 418.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 418 leaves us with 418.
Bring next digit (8) of the dividend behind the 418 and repeat the process: 4188 / 966

On to step 4:
The number 966 fits into 4188 4 times, leaving a remainder of 324.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 3864 from 4188 leaves us with 324.
Take the next digit (6) from the dividend and append it to 324, then repeat: 3246 / 966

Going ahead to step 5:
966 can be fit into 3246 3 times, resulting in a remainder of 348.
Put 3 as the next digit of the answer. 
Result so far: 43.0
Subtract 2898 from 3246 to get 348.
Bring next digit (8) of the dividend behind the 348 and repeat the process: 3488 / 966

Step 6:
3488 divided by 966 is 3 with a remainder of 590.
Record the quotient 3 as the next digit in the result. 
Result so far: 433.0
Subtracting 2898 from 3488 leaves us with 590.
Include the next digit (3) from the dividend after 590, then repeat: 5903 / 966

Let's proceed to step 7:
966 goes into 5903 6 times with a remainder of 107.
The number 6 becomes the next digit in our result. 
Result so far: 4336.0
Subtract 5796 from 5903 to get 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

Advancing to step 8:
When dividing 1070 by 966, we get 1 with a remainder of 104.
Record the quotient 1 as the next digit in the result. 
Result so far: 4336.1
Subtract 966 from 1070 to get 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Advancing to step 9:
1040 divided by 966 is 1 with a remainder of 74.
Put 1 as the next digit of the answer. 
Result so far: 4336.11
Deduct 966 from 1040 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

In conclusion, the division gives 4336.11 with a balance of 0.074.