Let's divide 966386 by 45
We're looking to find how many times 45 goes into 966386.

Going ahead to step 1:
The number 45 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 45

Moving on to step 2:
If we divide 96 by 45, we get 2 and a remainder of 6.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 90 from 96 leaves us with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 45

On to step 3:
66 divided by 45 is 1 with a remainder of 21.
The next digit of our result is 1. 
Result so far: 21.0
Deduct 45 from 66 and we're left with 21.
Fetch the next digit (3) from the dividend, attach it to 21 and continue: 213 / 45

Step 4:
When dividing 213 by 45, we get 4 with a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 214.0
Deduct 180 from 213 and we're left with 33.
Take the next digit (8) from the dividend and append it to 33, then repeat: 338 / 45

On to step 5:
If we divide 338 by 45, we get 7 and a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 2147.0
The remainder is 23 after subtracting 315 from 338.
Include the next digit (6) from the dividend after 23, then repeat: 236 / 45

Moving on to step 6:
45 can be fit into 236 5 times, resulting in a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 21475.0
The remainder is 11 after subtracting 225 from 236.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 7:
45 can be fit into 110 2 times, resulting in a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 21475.2
If we take 90 away from 110, we end up 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.

Step 8:
When dividing 200 by 45, we get 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 21475.24
The remainder is 20 after subtracting 180 from 200.
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 9:
If we divide 200 by 45, we get 4 and a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 21475.244
If we subtract 180 from 200, 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.

In conclusion, the division gives 21475.244 with a balance of 0.002.