We divide 174516 by 25
We're looking to find how many times 25 goes into 174516.

Going ahead to step 1:
25 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 25

Step 2:
25 can be fit into 17 0 times, resulting in a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Append the next digit (4) from the dividend to 17 and continue with: 174 / 25

Step 3:
If we divide 174 by 25, we get 6 and a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 24 after subtracting 150 from 174.
Take the next digit (5) from the dividend and append it to 24, then repeat: 245 / 25

Step 4:
The number 25 fits into 245 9 times, leaving a remainder of 20.
Put 9 as the next digit of the answer. 
Result so far: 69.0
If we take 225 away from 245, we end up with 20.
Bring next digit (1) of the dividend behind the 20 and repeat the process: 201 / 25

On to step 5:
201 divided by 25 is 8 with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 698.0
Deduct 200 from 201 and we're left with 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 25

Let's proceed to step 6:
The number 25 fits into 16 0 times, leaving a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 6980.0
Subtract 0 from 16 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 7:
25 can be fit into 160 6 times, resulting in a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 6980.6
Subtract 150 from 160 to 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.

Moving on to step 8:
If we divide 100 by 25, we get 4 and a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 6980.64
Subtracting 100 from 100 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:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 6980.64
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.

Step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6980.64
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.

The final outcome is 6980.64, with a leftover of 0.0.