We look at the division of 814165 by 45 
We want to divide 814165 by 45.

Step 1:
8 divided by 45 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 45

Advancing to step 2:
When dividing 81 by 45, we get 1 with a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 45 from 81, we get 36.
Fetch the next digit (4) from the dividend, attach it to 36 and continue: 364 / 45

On to step 3:
The number 45 fits into 364 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
If we take 360 away from 364, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 45

Let's proceed to step 4:
45 can be fit into 41 0 times, resulting in a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 180.0
Subtract 0 from 41 to get 41.
Include the next digit (6) from the dividend after 41, then repeat: 416 / 45

Advancing to step 5:
45 goes into 416 9 times with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 1809.0
Subtracting 405 from 416 leaves us with 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 45

Let's proceed to step 6:
When dividing 115 by 45, we get 2 with a remainder of 25.
The next digit of our result is 2. 
Result so far: 18092.0
If we take 90 away from 115, we end up 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 7:
250 divided by 45 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 18092.5
Deduct 225 from 250 and we're left 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 8:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 18092.55
If we subtract 225 from 250, 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.

The final outcome is 18092.55, with a leftover of 0.025.