We divide 3582 by 25
We're looking to find how many times 25 goes into 3582.

Moving on to step 1:
When dividing 3 by 25, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 25

Step 2:
If we divide 35 by 25, we get 1 and a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 25 from 35 to get 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 25

On to step 3:
25 goes into 108 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 14.0
The remainder is 8 after subtracting 100 from 108.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 25

Going ahead to step 4:
The number 25 fits into 82 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 143.0
Subtracting 75 from 82 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 5:
25 can be fit into 70 2 times, resulting in a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 143.2
If we subtract 50 from 70, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 6:
25 can be fit into 200 8 times, resulting in a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 143.28
Deduct 200 from 200 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:
If we divide 0 by 25, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 143.28
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.

Step 8:
If we divide 0 by 25, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 143.28
Deduct 0 from 0 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.

After the division, we end up with 143.28 and a remainder of 0.0.