14618 ÷ 25 
Our goal is to divide 14618 by 25.

Moving on to step 1:
When dividing 1 by 25, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 25

On to step 2:
The number 25 fits into 14 0 times, leaving a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 25

On to step 3:
25 can be fit into 146 5 times, resulting in a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 125 from 146, we get 21.
Bring next digit (1) of the dividend behind the 21 and repeat the process: 211 / 25

On to step 4:
When dividing 211 by 25, we get 8 with a remainder of 11.
The next digit of our result is 8. 
Result so far: 58.0
If we take 200 away from 211, we end up with 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 25

Let's proceed to step 5:
If we divide 118 by 25, we get 4 and a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 584.0
Subtract 100 from 118 to get 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 6:
If we divide 180 by 25, we get 7 and a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 584.7
If we subtract 175 from 180, we get 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 7:
25 can be fit into 50 2 times, resulting in a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 584.72
Deduct 50 from 50 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
If we divide 0 by 25, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 584.72
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 584.72
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 584.72 with a remaining 0.0.