4681 ÷ 25 
Let's see how many times 25 fits into 4681.

Step 1:
The number 25 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 25

On to step 2:
25 can be fit into 46 1 times, resulting in a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 25 away from 46, we end up with 21.
Grab the next digit (8) from the dividend, add it to 21, then carry on: 218 / 25

Moving on to step 3:
25 can be fit into 218 8 times, resulting in a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 18.0
If we subtract 200 from 218, we get 18.
Fetch the next digit (1) from the dividend, attach it to 18 and continue: 181 / 25

On to step 4:
The number 25 fits into 181 7 times, leaving a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 187.0
If we take 175 away from 181, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 5:
The number 25 fits into 60 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 187.2
If we subtract 50 from 60, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 6:
100 divided by 25 is 4 with a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 187.24
If we subtract 100 from 100, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
When dividing 0 by 25, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 187.24
Subtract 0 from 0 to get 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 8:
When dividing 0 by 25, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 187.24
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.

The final outcome is 187.24, with a leftover of 0.0.