We're dividing 825109 by 48 
Let's see how many times 48 fits into 825109.

Advancing to step 1:
The number 48 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 48

Let's proceed to step 2:
48 goes into 82 1 times with a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 48 from 82 leaves us with 34.
Fetch the next digit (5) from the dividend, attach it to 34 and continue: 345 / 48

Advancing to step 3:
The number 48 fits into 345 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Subtract 336 from 345 to get 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 48

Moving on to step 4:
The number 48 fits into 91 1 times, leaving a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 171.0
If we take 48 away from 91, we end up with 43.
Bring next digit (0) of the dividend behind the 43 and repeat the process: 430 / 48

Step 5:
When dividing 430 by 48, we get 8 with a remainder of 46.
The next digit of our result is 8. 
Result so far: 1718.0
If we subtract 384 from 430, we get 46.
Append the next digit (9) from the dividend to 46 and continue with: 469 / 48

On to step 6:
48 goes into 469 9 times with a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 17189.0
Subtract 432 from 469 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 7:
48 goes into 370 7 times with a remainder of 34.
The number 7 becomes the next digit in our result. 
Result so far: 17189.7
The remainder is 34 after subtracting 336 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
48 can be fit into 340 7 times, resulting in a remainder of 4.
The next digit of our result is 7. 
Result so far: 17189.77
Deduct 336 from 340 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 17189.77 with a balance of 0.004.