We're dividing 511877 by 12 
We want to figure out the number of times 511877 can be divided by 12.

Advancing to step 1:
When dividing 5 by 12, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 12

On to step 2:
12 goes into 51 4 times with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 48 from 51, we get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 12

On to step 3:
When dividing 31 by 12, we get 2 with a remainder of 7.
The next digit of our result is 2. 
Result so far: 42.0
Subtracting 24 from 31 leaves us with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 12

Advancing to step 4:
If we divide 78 by 12, we get 6 and a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 426.0
Subtract 72 from 78 to get 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 12

Step 5:
When dividing 67 by 12, we get 5 with a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 4265.0
Subtracting 60 from 67 leaves us with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 12

Moving on to step 6:
When dividing 77 by 12, we get 6 with a remainder of 5.
Record the quotient 6 as the next digit in the result. 
Result so far: 42656.0
Subtract 72 from 77 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
If we divide 50 by 12, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 42656.4
Subtracting 48 from 50 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
20 divided by 12 is 1 with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 42656.41
Deduct 12 from 20 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
If we divide 80 by 12, we get 6 and a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 42656.416
The remainder is 8 after subtracting 72 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
When dividing 80 by 12, we get 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 42656.4166
Subtract 72 from 80 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 42656.4166, and the remainder is 8e-05.