We're dividing 184332 by 45 
We want to figure out the number of times 184332 can be divided by 45.

Let's proceed to step 1:
1 divided by 45 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 45

Advancing to step 2:
45 goes into 18 0 times with a remainder of 18.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 18, we get 18.
Append the next digit (4) from the dividend to 18 and continue with: 184 / 45

Advancing to step 3:
45 can be fit into 184 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 180 from 184 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 45

Step 4:
43 divided by 45 is 0 with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 40.0
Deduct 0 from 43 and we're left with 43.
Fetch the next digit (3) from the dividend, attach it to 43 and continue: 433 / 45

Going ahead to step 5:
45 goes into 433 9 times with a remainder of 28.
Record the quotient 9 as the next digit in the result. 
Result so far: 409.0
Subtract 405 from 433 to get 28.
Append the next digit (2) from the dividend to 28 and continue with: 282 / 45

Going ahead to step 6:
282 divided by 45 is 6 with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 4096.0
Subtracting 270 from 282 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
45 goes into 120 2 times with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 4096.2
If we subtract 90 from 120, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
If we divide 300 by 45, we get 6 and a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 4096.26
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
45 goes into 300 6 times with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 4096.266
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 4096.266 and a remainder of 0.003.