We look at the division of 966534 by 51 
We're looking to find how many times 51 goes into 966534.

Advancing to step 1:
When dividing 9 by 51, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 51

Moving on to step 2:
51 goes into 96 1 times with a remainder of 45.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 51 from 96 leaves us with 45.
Fetch the next digit (6) from the dividend, attach it to 45 and continue: 456 / 51

Going ahead to step 3:
The number 51 fits into 456 8 times, leaving a remainder of 48.
Write down 8 as next digit of the result. 
Result so far: 18.0
If we take 408 away from 456, we end up with 48.
Include the next digit (5) from the dividend after 48, then repeat: 485 / 51

Let's proceed to step 4:
If we divide 485 by 51, we get 9 and a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 189.0
If we take 459 away from 485, we end up with 26.
Fetch the next digit (3) from the dividend, attach it to 26 and continue: 263 / 51

Going ahead to step 5:
If we divide 263 by 51, we get 5 and a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 1895.0
Deduct 255 from 263 and we're left with 8.
Include the next digit (4) from the dividend after 8, then repeat: 84 / 51

Moving on to step 6:
51 goes into 84 1 times with a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 18951.0
If we subtract 51 from 84, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 7:
If we divide 330 by 51, we get 6 and a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 18951.6
If we subtract 306 from 330, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 8:
51 goes into 240 4 times with a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 18951.64
Deduct 204 from 240 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 9:
If we divide 360 by 51, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 18951.647
If we take 357 away from 360, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 10:
If we divide 30 by 51, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 18951.647
Deduct 0 from 30 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.

On to step 11:
300 divided by 51 is 5 with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 18951.64705
Subtracting 255 from 300 leaves us 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.

Moving on to step 12:
51 can be fit into 450 8 times, resulting in a remainder of 42.
The next digit of our result is 8. 
Result so far: 18951.647058
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.

Let's proceed to step 13:
420 divided by 51 is 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 18951.6470588
If we subtract 408 from 420, we get 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 outcome is 18951.6470588, with a leftover of 1.2e-07.