We look at the division of 660351 by 51 
We're looking to find how many times 51 goes into 660351.

Advancing to step 1:
51 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 51

Step 2:
If we divide 66 by 51, we get 1 and a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 51 away from 66, we end up with 15.
Take the next digit (0) from the dividend and append it to 15, then repeat: 150 / 51

Going ahead to step 3:
If we divide 150 by 51, we get 2 and a remainder of 48.
The next digit of our result is 2. 
Result so far: 12.0
If we take 102 away from 150, we end up with 48.
Fetch the next digit (3) from the dividend, attach it to 48 and continue: 483 / 51

Let's proceed to step 4:
If we divide 483 by 51, we get 9 and a remainder of 24.
Record the quotient 9 as the next digit in the result. 
Result so far: 129.0
Deduct 459 from 483 and we're left with 24.
Fetch the next digit (5) from the dividend, attach it to 24 and continue: 245 / 51

Going ahead to step 5:
If we divide 245 by 51, we get 4 and a remainder of 41.
The next digit of our result is 4. 
Result so far: 1294.0
If we subtract 204 from 245, we get 41.
Fetch the next digit (1) from the dividend, attach it to 41 and continue: 411 / 51

Let's proceed to step 6:
411 divided by 51 is 8 with a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 12948.0
If we take 408 away from 411, 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 7:
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: 12948.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
51 can be fit into 300 5 times, resulting in a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 12948.05
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 9:
450 divided by 51 is 8 with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 12948.058
Deduct 408 from 450 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 10:
If we divide 420 by 51, we get 8 and a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 12948.0588
Subtract 408 from 420 to 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 quotient of the division is 12948.0588, and the remainder is 0.00012.