We're dividing 38854563 by 966 
Our goal is to divide 38854563 by 966.

Advancing to step 1:
3 divided by 966 is 0 with 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.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 966

Step 2:
966 can be fit into 38 0 times, resulting in a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 38, we end up with 38.
Fetch the next digit (8) from the dividend, attach it to 38 and continue: 388 / 966

Advancing to step 3:
If we divide 388 by 966, we get 0 and a remainder of 388.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 388, we get 388.
Append the next digit (5) from the dividend to 388 and continue with: 3885 / 966

Let's proceed to step 4:
If we divide 3885 by 966, we get 4 and a remainder of 21.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 3864 from 3885 and we're left with 21.
Append the next digit (4) from the dividend to 21 and continue with: 214 / 966

Advancing to step 5:
966 can be fit into 214 0 times, resulting in a remainder of 214.
Write down 0 as next digit of the result. 
Result so far: 40.0
Subtract 0 from 214 to get 214.
Grab the next digit (5) from the dividend, add it to 214, then carry on: 2145 / 966

Moving on to step 6:
When dividing 2145 by 966, we get 2 with a remainder of 213.
Write down 2 as next digit of the result. 
Result so far: 402.0
If we subtract 1932 from 2145, we get 213.
Grab the next digit (6) from the dividend, add it to 213, then carry on: 2136 / 966

Let's proceed to step 7:
2136 divided by 966 is 2 with a remainder of 204.
Use 2 as the next digit of our solution. 
Result so far: 4022.0
If we subtract 1932 from 2136, we get 204.
Bring next digit (3) of the dividend behind the 204 and repeat the process: 2043 / 966

Advancing to step 8:
966 goes into 2043 2 times with a remainder of 111.
Record the quotient 2 as the next digit in the result. 
Result so far: 40222.0
If we take 1932 away from 2043, we end up with 111.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1110, and continue the process.

On to step 9:
If we divide 1110 by 966, we get 1 and a remainder of 144.
Use 1 as the next digit of our solution. 
Result so far: 40222.1
Subtracting 966 from 1110 leaves us with 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Going ahead to step 10:
1440 divided by 966 is 1 with a remainder of 474.
The next digit of our result is 1. 
Result so far: 40222.11
If we subtract 966 from 1440, we get 474.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4740, and continue the process.

In conclusion, the division gives 40222.11 with a balance of 0.474.