We're dividing 144732 by 25 
We're looking to find how many times 25 goes into 144732.

Going ahead to step 1:
1 divided by 25 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 25

On to step 2:
The number 25 fits into 14 0 times, leaving a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 14 to get 14.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 25

Let's proceed to step 3:
144 divided by 25 is 5 with a remainder of 19.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 125 from 144 and we're left with 19.
Append the next digit (7) from the dividend to 19 and continue with: 197 / 25

On to step 4:
25 goes into 197 7 times with a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 57.0
If we subtract 175 from 197, we get 22.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 25

Moving on to step 5:
25 can be fit into 223 8 times, resulting in a remainder of 23.
The number 8 becomes the next digit in our result. 
Result so far: 578.0
If we subtract 200 from 223, we get 23.
Include the next digit (2) from the dividend after 23, then repeat: 232 / 25

Let's proceed to step 6:
If we divide 232 by 25, we get 9 and a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 5789.0
The remainder is 7 after subtracting 225 from 232.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
The number 25 fits into 70 2 times, leaving a remainder of 20.
The next digit of our result is 2. 
Result so far: 5789.2
The remainder is 20 after subtracting 50 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
200 divided by 25 is 8 with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 5789.28
Subtract 200 from 200 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:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 5789.28
If we subtract 0 from 0, we 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.

Let's proceed 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: 5789.28
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.

After the division, we end up with 5789.28 and a remainder of 0.0.