605308 ÷ 25 
We're looking to find how many times 25 goes into 605308.

Let's proceed to step 1:
25 can be fit into 6 0 times, resulting in a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 25

Let's proceed to step 2:
When dividing 60 by 25, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 10 after subtracting 50 from 60.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 25

Step 3:
The number 25 fits into 105 4 times, leaving a remainder of 5.
Use 4 as the next digit of our solution. 
Result so far: 24.0
The remainder is 5 after subtracting 100 from 105.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 25

Advancing to step 4:
The number 25 fits into 53 2 times, leaving a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 242.0
Deduct 50 from 53 and we're left with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 25

Advancing to step 5:
30 divided by 25 is 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 2421.0
If we take 25 away from 30, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 25

Step 6:
25 goes into 58 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 24212.0
Deduct 50 from 58 and we're left 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.

Let's proceed to step 7:
25 goes into 80 3 times with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 24212.3
The remainder is 5 after subtracting 75 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
The number 25 fits into 50 2 times, leaving a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 24212.32
Subtract 50 from 50 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.

On to step 9:
25 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 24212.32
If we take 0 away from 0, we end up 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 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 24212.32
If we take 0 away from 0, we end up 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.

Our division results in 24212.32 with a remaining 0.0.