We're dividing 966750 by 51 
We're looking to find how many times 51 goes into 966750.

Let's proceed to step 1:
If we divide 9 by 51, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 51

Moving on to step 2:
The number 51 fits into 96 1 times, leaving a remainder of 45.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 51 from 96 and we're left with 45.
Fetch the next digit (6) from the dividend, attach it to 45 and continue: 456 / 51

Going ahead to step 3:
If we divide 456 by 51, we get 8 and a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Subtracting 408 from 456 leaves us with 48.
Grab the next digit (7) from the dividend, add it to 48, then carry on: 487 / 51

Let's proceed to step 4:
When dividing 487 by 51, we get 9 with a remainder of 28.
Write down 9 as next digit of the result. 
Result so far: 189.0
Subtract 459 from 487 to get 28.
Fetch the next digit (5) from the dividend, attach it to 28 and continue: 285 / 51

Advancing to step 5:
If we divide 285 by 51, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 1895.0
If we take 255 away from 285, we end up with 30.
Grab the next digit (0) from the dividend, add it to 30, then carry on: 300 / 51

Step 6:
51 can be fit into 300 5 times, resulting in a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 18955.0
Deduct 255 from 300 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 7:
450 divided by 51 is 8 with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 18955.8
If we subtract 408 from 450, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
51 goes into 420 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 18955.88
If we take 408 away from 420, we end up 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.

The final result is 18955.88 with a remainder of 0.012.