We look at the division of 25782 by 5 
Let's see how many times 5 fits into 25782.

On to step 1:
2 divided by 5 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 5

On to step 2:
25 divided by 5 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 25 away from 25, we end up with 0.
Grab the next digit (7) from the dividend, add it to 0, then carry on: 7 / 5

Let's proceed to step 3:
5 goes into 7 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
Deduct 5 from 7 and we're left with 2.
Include the next digit (8) from the dividend after 2, then repeat: 28 / 5

Going ahead to step 4:
5 goes into 28 5 times with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 515.0
Deduct 25 from 28 and we're left with 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 5

Advancing to step 5:
When dividing 32 by 5, we get 6 with a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 5156.0
If we take 30 away from 32, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 6:
When dividing 20 by 5, we get 4 with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 5156.4
Deduct 20 from 20 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.

Step 7:
The number 5 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 5156.4
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 8:
The number 5 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 5156.4
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.

In conclusion, the division gives 5156.4 with a balance of 0.0.