8166 divided by 43 
We're looking to find how many times 43 goes into 8166.

Moving on to step 1:
If we divide 8 by 43, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 43

Step 2:
81 divided by 43 is 1 with a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 43 away from 81, we end up with 38.
Grab the next digit (6) from the dividend, add it to 38, then carry on: 386 / 43

Going ahead to step 3:
386 divided by 43 is 8 with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 18.0
If we take 344 away from 386, we end up with 42.
Append the next digit (6) from the dividend to 42 and continue with: 426 / 43

On to step 4:
43 can be fit into 426 9 times, resulting in a remainder of 39.
Write down 9 as next digit of the result. 
Result so far: 189.0
If we subtract 387 from 426, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 5:
43 goes into 390 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 189.9
Subtract 387 from 390 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 6:
The number 43 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 189.9
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
300 divided by 43 is 6 with a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 189.906
The remainder is 42 after subtracting 258 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 8:
43 goes into 420 9 times with a remainder of 33.
Write down 9 as next digit of the result. 
Result so far: 189.9069
The remainder is 33 after subtracting 387 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 9:
43 can be fit into 330 7 times, resulting in a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 189.90697
Subtract 301 from 330 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 10:
43 goes into 290 6 times with a remainder of 32.
The next digit of our result is 6. 
Result so far: 189.906976
If we take 258 away from 290, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 11:
320 divided by 43 is 7 with a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 189.9069767
If we subtract 301 from 320, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 12:
190 divided by 43 is 4 with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 189.90697674
Subtract 172 from 190 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

After the division, we end up with 189.90697674 and a remainder of 1.8e-08.