We look at the division of 17257823 by 825 
Let's see how many times 825 fits into 17257823.

Advancing to step 1:
When dividing 1 by 825, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 825

Advancing to step 2:
825 goes into 17 0 times with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Append the next digit (2) from the dividend to 17 and continue with: 172 / 825

Let's proceed to step 3:
When dividing 172 by 825, we get 0 with a remainder of 172.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 172 to get 172.
Fetch the next digit (5) from the dividend, attach it to 172 and continue: 1725 / 825

Going ahead to step 4:
825 can be fit into 1725 2 times, resulting in a remainder of 75.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 1650 from 1725, we get 75.
Append the next digit (7) from the dividend to 75 and continue with: 757 / 825

Advancing to step 5:
757 divided by 825 is 0 with a remainder of 757.
The next digit of our result is 0. 
Result so far: 20.0
Subtract 0 from 757 to get 757.
Append the next digit (8) from the dividend to 757 and continue with: 7578 / 825

Advancing to step 6:
The number 825 fits into 7578 9 times, leaving a remainder of 153.
Use 9 as the next digit of our solution. 
Result so far: 209.0
Deduct 7425 from 7578 and we're left with 153.
Grab the next digit (2) from the dividend, add it to 153, then carry on: 1532 / 825

Let's proceed to step 7:
The number 825 fits into 1532 1 times, leaving a remainder of 707.
Write down 1 as next digit of the result. 
Result so far: 2091.0
If we take 825 away from 1532, we end up with 707.
Take the next digit (3) from the dividend and append it to 707, then repeat: 7073 / 825

Going ahead to step 8:
825 goes into 7073 8 times with a remainder of 473.
The next digit of our result is 8. 
Result so far: 20918.0
If we subtract 6600 from 7073, we get 473.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4730, and continue the process.

Going ahead to step 9:
825 goes into 4730 5 times with a remainder of 605.
Put 5 as the next digit of the answer. 
Result so far: 20918.5
Subtracting 4125 from 4730 leaves us with 605.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6050, and continue the process.

Advancing to step 10:
When dividing 6050 by 825, we get 7 with a remainder of 275.
Record the quotient 7 as the next digit in the result. 
Result so far: 20918.57
If we subtract 5775 from 6050, we get 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Going ahead to step 11:
When dividing 2750 by 825, we get 3 with a remainder of 275.
Put 3 as the next digit of the answer. 
Result so far: 20918.573
If we take 2475 away from 2750, we end up with 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Let's proceed to step 12:
When dividing 2750 by 825, we get 3 with a remainder of 275.
Use 3 as the next digit of our solution. 
Result so far: 20918.5733
The remainder is 275 after subtracting 2475 from 2750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

The final result is 20918.5733 with a remainder of 0.00275.