We're dividing 510759 by 12 
We want to figure out the number of times 510759 can be divided by 12.

On to step 1:
12 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 12

Step 2:
The number 12 fits into 51 4 times, leaving a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 48 from 51 and we're left with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 12

Let's proceed to step 3:
30 divided by 12 is 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 42.0
If we subtract 24 from 30, we get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 12

On to step 4:
The number 12 fits into 67 5 times, leaving a remainder of 7.
The next digit of our result is 5. 
Result so far: 425.0
Subtracting 60 from 67 leaves us with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 12

Moving on to step 5:
When dividing 75 by 12, we get 6 with a remainder of 3.
Use 6 as the next digit of our solution. 
Result so far: 4256.0
If we subtract 72 from 75, we get 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 12

Let's proceed to step 6:
39 divided by 12 is 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 42563.0
If we subtract 36 from 39, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
12 goes into 30 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 42563.2
If we subtract 24 from 30, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
If we divide 60 by 12, we get 5 and a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 42563.25
If we subtract 60 from 60, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
If we divide 0 by 12, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 42563.25
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
When dividing 0 by 12, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 42563.25
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 42563.25 with a remainder of 0.0.