We're dividing 583563 by 27 
We're looking to find how many times 27 goes into 583563.

Going ahead to step 1:
27 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 27

On to step 2:
If we divide 58 by 27, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 4 after subtracting 54 from 58.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 27

Advancing to step 3:
If we divide 43 by 27, we get 1 and a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
The remainder is 16 after subtracting 27 from 43.
Append the next digit (5) from the dividend to 16 and continue with: 165 / 27

Advancing to step 4:
When dividing 165 by 27, we get 6 with a remainder of 3.
Put 6 as the next digit of the answer. 
Result so far: 216.0
Subtract 162 from 165 to get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 27

Moving on to step 5:
If we divide 36 by 27, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 2161.0
Subtracting 27 from 36 leaves us with 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 27

On to step 6:
27 goes into 93 3 times with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 21613.0
Subtracting 81 from 93 leaves us 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.

Advancing to step 7:
The number 27 fits into 120 4 times, leaving a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 21613.4
Deduct 108 from 120 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.

Moving on to step 8:
27 goes into 120 4 times with a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 21613.44
Subtracting 108 from 120 leaves us 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.

The final outcome is 21613.44, with a leftover of 0.012.