We're dividing 174163 by 25 
We're looking to find how many times 25 goes into 174163.

Moving on to step 1:
1 divided by 25 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 25

Advancing to step 2:
If we divide 17 by 25, we get 0 and a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Grab the next digit (4) from the dividend, add it to 17, then carry on: 174 / 25

Advancing 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: 6.0
Deduct 150 from 174 and we're left with 24.
Include the next digit (1) from the dividend after 24, then repeat: 241 / 25

Going ahead to step 4:
The number 25 fits into 241 9 times, leaving a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
Deduct 225 from 241 and we're left with 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 25

Let's proceed to step 5:
The number 25 fits into 166 6 times, leaving a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 696.0
The remainder is 16 after subtracting 150 from 166.
Grab the next digit (3) from the dividend, add it to 16, then carry on: 163 / 25

On to step 6:
163 divided by 25 is 6 with a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 6966.0
The remainder is 13 after subtracting 150 from 163.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
25 can be fit into 130 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 6966.5
Subtract 125 from 130 to 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.
Record the quotient 2 as the next digit in the result. 
Result so far: 6966.52
The remainder is 0 after subtracting 50 from 50.
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 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: 6966.52
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.
Record the quotient 0 as the next digit in the result. 
Result so far: 6966.52
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 quotient of the division is 6966.52, and the remainder is 0.0.