Let's divide 25188 by 45
We're looking to find how many times 45 goes into 25188.

Step 1:
The number 45 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (5) from the dividend after 2, then repeat: 25 / 45

Let's proceed to step 2:
The number 45 fits into 25 0 times, leaving a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Append the next digit (1) from the dividend to 25 and continue with: 251 / 45

Going ahead to step 3:
45 goes into 251 5 times with a remainder of 26.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 225 from 251, we get 26.
Bring next digit (8) of the dividend behind the 26 and repeat the process: 268 / 45

Step 4:
45 goes into 268 5 times with a remainder of 43.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
The remainder is 43 after subtracting 225 from 268.
Grab the next digit (8) from the dividend, add it to 43, then carry on: 438 / 45

Going ahead to step 5:
When dividing 438 by 45, we get 9 with a remainder of 33.
The number 9 becomes the next digit in our result. 
Result so far: 559.0
The remainder is 33 after subtracting 405 from 438.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 6:
If we divide 330 by 45, we get 7 and a remainder of 15.
Write down 7 as next digit of the result. 
Result so far: 559.7
Deduct 315 from 330 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
150 divided by 45 is 3 with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 559.73
The remainder is 15 after subtracting 135 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
The number 45 fits into 150 3 times, leaving a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 559.733
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final result is 559.733 with a remainder of 0.0015.