We're dividing 380945 by 45 
We're looking to find how many times 45 goes into 380945.

Moving on to step 1:
When dividing 3 by 45, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 45

Advancing to step 2:
45 goes into 38 0 times with a remainder of 38.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 38 to get 38.
Include the next digit (0) from the dividend after 38, then repeat: 380 / 45

Going ahead to step 3:
The number 45 fits into 380 8 times, leaving a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 360 from 380 and we're left with 20.
Grab the next digit (9) from the dividend, add it to 20, then carry on: 209 / 45

Going ahead to step 4:
209 divided by 45 is 4 with a remainder of 29.
The next digit of our result is 4. 
Result so far: 84.0
The remainder is 29 after subtracting 180 from 209.
Include the next digit (4) from the dividend after 29, then repeat: 294 / 45

Advancing to step 5:
When dividing 294 by 45, we get 6 with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 846.0
The remainder is 24 after subtracting 270 from 294.
Bring next digit (5) of the dividend behind the 24 and repeat the process: 245 / 45

On to step 6:
The number 45 fits into 245 5 times, leaving a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 8465.0
If we subtract 225 from 245, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
45 goes into 200 4 times with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 8465.4
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
45 goes into 200 4 times with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 8465.44
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 8465.44 with a balance of 0.02.