We look at the division of 16966 by 43 
We're looking to find how many times 43 goes into 16966.

On to step 1:
43 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 43

Advancing to step 2:
When dividing 16 by 43, we get 0 with a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Fetch the next digit (9) from the dividend, attach it to 16 and continue: 169 / 43

Step 3:
169 divided by 43 is 3 with a remainder of 40.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtracting 129 from 169 leaves us with 40.
Include the next digit (6) from the dividend after 40, then repeat: 406 / 43

Moving on to step 4:
43 can be fit into 406 9 times, resulting in a remainder of 19.
The number 9 becomes the next digit in our result. 
Result so far: 39.0
If we take 387 away from 406, we end up with 19.
Fetch the next digit (6) from the dividend, attach it to 19 and continue: 196 / 43

Going ahead to step 5:
43 can be fit into 196 4 times, resulting in a remainder of 24.
The next digit of our result is 4. 
Result so far: 394.0
If we subtract 172 from 196, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 6:
43 can be fit into 240 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 394.5
Subtracting 215 from 240 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
43 can be fit into 250 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 394.55
Subtract 215 from 250 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final result is 394.55 with a remainder of 0.035.