We look at the division of 4565 by 18 
Let's see how many times 18 fits into 4565.

Advancing to step 1:
The number 18 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 18

Step 2:
18 goes into 45 2 times with a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 36 from 45 to get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 18

Going ahead to step 3:
When dividing 96 by 18, we get 5 with a remainder of 6.
The next digit of our result is 5. 
Result so far: 25.0
The remainder is 6 after subtracting 90 from 96.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 18

Step 4:
18 goes into 65 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 253.0
If we take 54 away from 65, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 5:
If we divide 110 by 18, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 253.6
The remainder is 2 after subtracting 108 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 6:
20 divided by 18 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 253.61
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
18 goes into 20 1 times with a remainder of 2.
The next digit of our result is 1. 
Result so far: 253.611
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 253.611, with a leftover of 0.0002.