25080 ÷ 45 
We're looking to find how many times 45 goes into 25080.

Moving on to step 1:
The number 45 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 45

Step 2:
45 goes into 25 0 times with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Take the next digit (0) from the dividend and append it to 25, then repeat: 250 / 45

Advancing to step 3:
45 goes into 250 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 225 from 250, we get 25.
Append the next digit (8) from the dividend to 25 and continue with: 258 / 45

Advancing to step 4:
45 goes into 258 5 times with a remainder of 33.
Use 5 as the next digit of our solution. 
Result so far: 55.0
Deduct 225 from 258 and we're left with 33.
Fetch the next digit (0) from the dividend, attach it to 33 and continue: 330 / 45

On to step 5:
If we divide 330 by 45, we get 7 and a remainder of 15.
The next digit of our result is 7. 
Result so far: 557.0
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 6:
When dividing 150 by 45, we get 3 with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 557.3
If we subtract 135 from 150, we 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.

Going ahead to step 7:
The number 45 fits into 150 3 times, leaving a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 557.33
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 quotient of the division is 557.33, and the remainder is 0.015.