We look at the division of 78566 by 43 
We want to divide 78566 by 43.

Advancing to step 1:
7 divided by 43 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 43

Let's proceed to step 2:
43 can be fit into 78 1 times, resulting in a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 43 from 78, we get 35.
Grab the next digit (5) from the dividend, add it to 35, then carry on: 355 / 43

Going ahead to step 3:
43 can be fit into 355 8 times, resulting in a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
The remainder is 11 after subtracting 344 from 355.
Bring next digit (6) of the dividend behind the 11 and repeat the process: 116 / 43

Going ahead to step 4:
The number 43 fits into 116 2 times, leaving a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 182.0
Deduct 86 from 116 and we're left with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 43

Going ahead to step 5:
43 can be fit into 306 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 1827.0
The remainder is 5 after subtracting 301 from 306.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 6:
43 goes into 50 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1827.1
The remainder is 7 after subtracting 43 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
43 goes into 70 1 times with a remainder of 27.
The next digit of our result is 1. 
Result so far: 1827.11
Subtract 43 from 70 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The final result is 1827.11 with a remainder of 0.027.