We look at the division of 80166 by 51 
Our goal is to divide 80166 by 51.

Advancing to step 1:
If we divide 8 by 51, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 51

Advancing to step 2:
51 can be fit into 80 1 times, resulting in a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 51 from 80 to get 29.
Include the next digit (1) from the dividend after 29, then repeat: 291 / 51

Going ahead to step 3:
291 divided by 51 is 5 with a remainder of 36.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Deduct 255 from 291 and we're left with 36.
Grab the next digit (6) from the dividend, add it to 36, then carry on: 366 / 51

Moving on to step 4:
The number 51 fits into 366 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 157.0
Subtracting 357 from 366 leaves us with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 51

Let's proceed to step 5:
96 divided by 51 is 1 with a remainder of 45.
The next digit of our result is 1. 
Result so far: 1571.0
Deduct 51 from 96 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 6:
If we divide 450 by 51, we get 8 and a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 1571.8
If we subtract 408 from 450, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 7:
The number 51 fits into 420 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 1571.88
Deduct 408 from 420 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 1571.88 with a remaining 0.012.