We look at the division of 564663 by 43 
Our goal is to divide 564663 by 43.

Advancing to step 1:
When dividing 5 by 43, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 43

Advancing to step 2:
If we divide 56 by 43, we get 1 and a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 43 from 56 leaves us with 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 43

Let's proceed to step 3:
When dividing 134 by 43, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 5 after subtracting 129 from 134.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 43

Moving on to step 4:
43 can be fit into 56 1 times, resulting in a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 131.0
The remainder is 13 after subtracting 43 from 56.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 43

Step 5:
If we divide 136 by 43, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 1313.0
Subtracting 129 from 136 leaves us with 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 43

Let's proceed to step 6:
73 divided by 43 is 1 with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 13131.0
The remainder is 30 after subtracting 43 from 73.
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:
43 can be fit into 300 6 times, resulting in a remainder of 42.
Use 6 as the next digit of our solution. 
Result so far: 13131.6
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.

Let's proceed to step 8:
If we divide 420 by 43, we get 9 and a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 13131.69
Subtracting 387 from 420 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 9:
43 goes into 330 7 times with a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 13131.697
Deduct 301 from 330 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 10:
43 can be fit into 290 6 times, resulting in a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 13131.6976
Deduct 258 from 290 and we're left 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.

Step 11:
320 divided by 43 is 7 with a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 13131.69767
Subtract 301 from 320 to 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.

Moving on to step 12:
When dividing 190 by 43, we get 4 with a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 13131.697674
Deduct 172 from 190 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 13:
180 divided by 43 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 13131.6976744
Subtracting 172 from 180 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 13131.6976744 with a balance of 8e-08.