Let's divide 383824 by 45
We want to divide 383824 by 45.

Going ahead to step 1:
If we divide 3 by 45, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 45

Step 2:
The number 45 fits into 38 0 times, leaving a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 38 leaves us with 38.
Append the next digit (3) from the dividend to 38 and continue with: 383 / 45

On to step 3:
45 goes into 383 8 times with a remainder of 23.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 360 from 383 to get 23.
Include the next digit (8) from the dividend after 23, then repeat: 238 / 45

Step 4:
If we divide 238 by 45, we get 5 and a remainder of 13.
The next digit of our result is 5. 
Result so far: 85.0
The remainder is 13 after subtracting 225 from 238.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 45

Step 5:
When dividing 132 by 45, we get 2 with a remainder of 42.
The next digit of our result is 2. 
Result so far: 852.0
If we subtract 90 from 132, we get 42.
Append the next digit (4) from the dividend to 42 and continue with: 424 / 45

On to step 6:
When dividing 424 by 45, we get 9 with a remainder of 19.
The number 9 becomes the next digit in our result. 
Result so far: 8529.0
If we take 405 away from 424, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
45 can be fit into 190 4 times, resulting in a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 8529.4
Deduct 180 from 190 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
45 goes into 100 2 times with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 8529.42
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
When dividing 100 by 45, we get 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 8529.422
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 8529.422, and the remainder is 0.001.