We look at the division of 173145 by 25 
We're looking to find how many times 25 goes into 173145.

Advancing to step 1:
The number 25 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 25

Step 2:
If we divide 17 by 25, we get 0 and a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 25

Let's proceed to step 3:
The number 25 fits into 173 6 times, leaving a remainder of 23.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 23 after subtracting 150 from 173.
Grab the next digit (1) from the dividend, add it to 23, then carry on: 231 / 25

Step 4:
25 goes into 231 9 times with a remainder of 6.
Write down 9 as next digit of the result. 
Result so far: 69.0
The remainder is 6 after subtracting 225 from 231.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 25

Let's proceed to step 5:
When dividing 64 by 25, we get 2 with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 692.0
The remainder is 14 after subtracting 50 from 64.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 25

On to step 6:
25 goes into 145 5 times with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 6925.0
The remainder is 20 after subtracting 125 from 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
If we divide 200 by 25, we get 8 and a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 6925.8
Subtracting 200 from 200 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.

Let's proceed to step 8:
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: 6925.8
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 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 6925.8
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.

After the division, we end up with 6925.8 and a remainder of 0.0.