430878 ÷ 25 
Our goal is to divide 430878 by 25.

Going ahead to step 1:
25 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 25

Advancing to step 2:
When dividing 43 by 25, we get 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 25 away from 43, we end up with 18.
Fetch the next digit (0) from the dividend, attach it to 18 and continue: 180 / 25

Moving on to step 3:
180 divided by 25 is 7 with a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we take 175 away from 180, we end up with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 25

Going ahead to step 4:
The number 25 fits into 58 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 172.0
Subtracting 50 from 58 leaves us with 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 25

Advancing to step 5:
The number 25 fits into 87 3 times, leaving a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 1723.0
The remainder is 12 after subtracting 75 from 87.
Fetch the next digit (8) from the dividend, attach it to 12 and continue: 128 / 25

Going ahead to step 6:
25 can be fit into 128 5 times, resulting in a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 17235.0
Subtract 125 from 128 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
25 can be fit into 30 1 times, resulting in a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 17235.1
Subtracting 25 from 30 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
If we divide 50 by 25, we get 2 and a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 17235.12
If we subtract 50 from 50, 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.

On to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 17235.12
The remainder is 0 after subtracting 0 from 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:
25 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 17235.12
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.

The final outcome is 17235.12, with a leftover of 0.0.