25069 divided by 82 
Let's see how many times 82 fits into 25069.

On to step 1:
82 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our 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 / 82

Going ahead to step 2:
When dividing 25 by 82, we get 0 with a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 25, we end up with 25.
Bring next digit (0) of the dividend behind the 25 and repeat the process: 250 / 82

On to step 3:
82 can be fit into 250 3 times, resulting in a remainder of 4.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 246 from 250 leaves us with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 82

Advancing to step 4:
If we divide 46 by 82, we get 0 and a remainder of 46.
The next digit of our result is 0. 
Result so far: 30.0
The remainder is 46 after subtracting 0 from 46.
Fetch the next digit (9) from the dividend, attach it to 46 and continue: 469 / 82

Step 5:
82 goes into 469 5 times with a remainder of 59.
Write down 5 as next digit of the result. 
Result so far: 305.0
Deduct 410 from 469 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 6:
82 goes into 590 7 times with a remainder of 16.
The next digit of our result is 7. 
Result so far: 305.7
The remainder is 16 after subtracting 574 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
When dividing 160 by 82, we get 1 with a remainder of 78.
The number 1 becomes the next digit in our result. 
Result so far: 305.71
The remainder is 78 after subtracting 82 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 8:
The number 82 fits into 780 9 times, leaving a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 305.719
Subtract 738 from 780 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 9:
When dividing 420 by 82, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 305.7195
Subtracting 410 from 420 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
82 can be fit into 100 1 times, resulting in a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 305.71951
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 11:
When dividing 180 by 82, we get 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 305.719512
Deduct 164 from 180 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 12:
The number 82 fits into 160 1 times, leaving a remainder of 78.
Write down 1 as next digit of the result. 
Result so far: 305.7195121
The remainder is 78 after subtracting 82 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 13:
The number 82 fits into 780 9 times, leaving a remainder of 42.
The next digit of our result is 9. 
Result so far: 305.71951219
If we take 738 away from 780, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

In conclusion, the division gives 305.71951219 with a balance of 4.2e-08.