25321 ÷ 4 
We want to figure out the number of times 25321 can be divided by 4.

Advancing to step 1:
2 divided by 4 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 4

Moving on to step 2:
When dividing 25 by 4, we get 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 24 from 25 leaves us with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 4

Moving on to step 3:
The number 4 fits into 13 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 63.0
If we subtract 12 from 13, we get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 4

On to step 4:
4 can be fit into 12 3 times, resulting in a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 633.0
If we subtract 12 from 12, we get 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 4

Moving on to step 5:
1 divided by 4 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 6330.0
Subtract 0 from 1 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 6:
4 can be fit into 10 2 times, resulting in a remainder of 2.
The next digit of our result is 2. 
Result so far: 6330.2
Subtract 8 from 10 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
If we divide 20 by 4, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 6330.25
The remainder is 0 after subtracting 20 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
When dividing 0 by 4, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6330.25
If we take 0 away from 0, we end up 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 9:
0 divided by 4 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6330.25
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 6330.25 with a balance of 0.0.