We're dividing 812184 by 45 
We're looking to find how many times 45 goes into 812184.

Going ahead to step 1:
45 can be fit into 8 0 times, resulting in a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 45

Let's proceed to step 2:
If we divide 81 by 45, we get 1 and a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 45 away from 81, we end up with 36.
Fetch the next digit (2) from the dividend, attach it to 36 and continue: 362 / 45

Let's proceed to step 3:
When dividing 362 by 45, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 18.0
Deduct 360 from 362 and we're left with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 45

Moving on to step 4:
45 can be fit into 21 0 times, resulting in a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 180.0
Subtracting 0 from 21 leaves us with 21.
Include the next digit (8) from the dividend after 21, then repeat: 218 / 45

Moving on to step 5:
If we divide 218 by 45, we get 4 and a remainder of 38.
Use 4 as the next digit of our solution. 
Result so far: 1804.0
If we subtract 180 from 218, we get 38.
Bring next digit (4) of the dividend behind the 38 and repeat the process: 384 / 45

Step 6:
The number 45 fits into 384 8 times, leaving a remainder of 24.
The next digit of our result is 8. 
Result so far: 18048.0
Deduct 360 from 384 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
If we divide 240 by 45, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 18048.5
The remainder is 15 after subtracting 225 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 8:
45 goes into 150 3 times with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 18048.53
If we take 135 away from 150, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
150 divided by 45 is 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 18048.533
Subtract 135 from 150 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

After the division, we end up with 18048.533 and a remainder of 0.0015.