565816 ÷ 43 
Our goal is to divide 565816 by 43.

Let's proceed to step 1:
The number 43 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 43

Going ahead to step 2:
The number 43 fits into 56 1 times, leaving a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 43 from 56 and we're left with 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 43

Advancing to step 3:
The number 43 fits into 135 3 times, leaving a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 13.0
If we take 129 away from 135, we end up with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 43

Going ahead to step 4:
The number 43 fits into 68 1 times, leaving a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 131.0
Deduct 43 from 68 and we're left with 25.
Append the next digit (1) from the dividend to 25 and continue with: 251 / 43

On to step 5:
43 goes into 251 5 times with a remainder of 36.
Record the quotient 5 as the next digit in the result. 
Result so far: 1315.0
If we take 215 away from 251, we end up with 36.
Include the next digit (6) from the dividend after 36, then repeat: 366 / 43

Step 6:
366 divided by 43 is 8 with a remainder of 22.
Use 8 as the next digit of our solution. 
Result so far: 13158.0
The remainder is 22 after subtracting 344 from 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
If we divide 220 by 43, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 13158.5
If we take 215 away from 220, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
The number 43 fits into 50 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 13158.51
If we take 43 away from 50, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 9:
70 divided by 43 is 1 with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 13158.511
If we subtract 43 from 70, we 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.

In conclusion, the division gives 13158.511 with a balance of 0.0027.