We look at the division of 674609 by 25 
Let's see how many times 25 fits into 674609.

Moving on to step 1:
6 divided by 25 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 25

Advancing to step 2:
When dividing 67 by 25, we get 2 with a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 17 after subtracting 50 from 67.
Include the next digit (4) from the dividend after 17, then repeat: 174 / 25

On to step 3:
The number 25 fits into 174 6 times, leaving a remainder of 24.
The next digit of our result is 6. 
Result so far: 26.0
Subtracting 150 from 174 leaves us with 24.
Include the next digit (6) from the dividend after 24, then repeat: 246 / 25

Going ahead to step 4:
246 divided by 25 is 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 269.0
The remainder is 21 after subtracting 225 from 246.
Bring next digit (0) of the dividend behind the 21 and repeat the process: 210 / 25

Moving on to step 5:
210 divided by 25 is 8 with a remainder of 10.
Put 8 as the next digit of the answer. 
Result so far: 2698.0
Deduct 200 from 210 and we're left with 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 25

On to step 6:
When dividing 109 by 25, we get 4 with a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 26984.0
If we subtract 100 from 109, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
The number 25 fits into 90 3 times, leaving a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 26984.3
Deduct 75 from 90 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
25 can be fit into 150 6 times, resulting in a remainder of 0.
The next digit of our result is 6. 
Result so far: 26984.36
The remainder is 0 after subtracting 150 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 26984.36
Deduct 0 from 0 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.

Advancing to step 10:
25 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 26984.36
Deduct 0 from 0 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.

Our division results in 26984.36 with a remaining 0.0.