Let's divide 116966 by 45
The aim is to understand the frequency of 45 in 116966.

On to step 1:
1 divided by 45 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 45

Step 2:
11 divided by 45 is 0 with a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 45

Moving on to step 3:
45 can be fit into 116 2 times, resulting in a remainder of 26.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 90 from 116 and we're left with 26.
Fetch the next digit (9) from the dividend, attach it to 26 and continue: 269 / 45

On to step 4:
The number 45 fits into 269 5 times, leaving a remainder of 44.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Deduct 225 from 269 and we're left with 44.
Grab the next digit (6) from the dividend, add it to 44, then carry on: 446 / 45

Let's proceed to step 5:
If we divide 446 by 45, we get 9 and a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 259.0
Subtracting 405 from 446 leaves us with 41.
Take the next digit (6) from the dividend and append it to 41, then repeat: 416 / 45

Step 6:
45 goes into 416 9 times with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 2599.0
If we subtract 405 from 416, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
110 divided by 45 is 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 2599.2
Subtract 90 from 110 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
45 can be fit into 200 4 times, resulting in a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 2599.24
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
45 goes into 200 4 times with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 2599.244
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 2599.244 with a remainder of 0.002.