Let's divide 674353 by 25
We want to divide 674353 by 25.

On to step 1:
If we divide 6 by 25, we get 0 and 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.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 25

Let's proceed to step 2:
67 divided by 25 is 2 with a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 50 from 67 leaves us with 17.
Include the next digit (4) from the dividend after 17, then repeat: 174 / 25

Moving on to step 3:
When dividing 174 by 25, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 26.0
If we take 150 away from 174, we end up with 24.
Include the next digit (3) from the dividend after 24, then repeat: 243 / 25

Going ahead to step 4:
243 divided by 25 is 9 with a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 269.0
The remainder is 18 after subtracting 225 from 243.
Include the next digit (5) from the dividend after 18, then repeat: 185 / 25

On to step 5:
25 can be fit into 185 7 times, resulting in a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 2697.0
Deduct 175 from 185 and we're left with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 25

On to step 6:
25 goes into 103 4 times with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 26974.0
The remainder is 3 after subtracting 100 from 103.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
When dividing 30 by 25, we get 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 26974.1
If we subtract 25 from 30, 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.

Moving on to step 8:
If we divide 50 by 25, we get 2 and a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 26974.12
Subtracting 50 from 50 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.

Moving on to step 9:
0 divided by 25 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 26974.12
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.

Going ahead to step 10:
0 divided by 25 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 26974.12
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 26974.12 with a remaining 0.0.