825271 ÷ 45 
We want to figure out the number of times 825271 can be divided by 45.

On to step 1:
When dividing 8 by 45, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the 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 / 45

Going ahead to step 2:
45 goes into 82 1 times with a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 45 from 82, we get 37.
Include the next digit (5) from the dividend after 37, then repeat: 375 / 45

Advancing to step 3:
375 divided by 45 is 8 with a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
If we take 360 away from 375, we end up with 15.
Bring next digit (2) of the dividend behind the 15 and repeat the process: 152 / 45

On to step 4:
The number 45 fits into 152 3 times, leaving a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 183.0
If we subtract 135 from 152, we get 17.
Fetch the next digit (7) from the dividend, attach it to 17 and continue: 177 / 45

Going ahead to step 5:
If we divide 177 by 45, we get 3 and a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 1833.0
Subtracting 135 from 177 leaves us with 42.
Bring next digit (1) of the dividend behind the 42 and repeat the process: 421 / 45

Step 6:
The number 45 fits into 421 9 times, leaving a remainder of 16.
Put 9 as the next digit of the answer. 
Result so far: 18339.0
If we take 405 away from 421, we end up 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.

Moving on to step 7:
If we divide 160 by 45, we get 3 and a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 18339.3
If we subtract 135 from 160, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 8:
45 can be fit into 250 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 18339.35
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
250 divided by 45 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 18339.355
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 18339.355 with a balance of 0.0025.