We look at the division of 513859 by 66 
Our goal is to divide 513859 by 66.

On to step 1:
If we divide 5 by 66, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 66

Advancing to step 2:
The number 66 fits into 51 0 times, leaving a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Take the next digit (3) from the dividend and append it to 51, then repeat: 513 / 66

Step 3:
66 goes into 513 7 times with a remainder of 51.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we take 462 away from 513, we end up with 51.
Append the next digit (8) from the dividend to 51 and continue with: 518 / 66

On to step 4:
The number 66 fits into 518 7 times, leaving a remainder of 56.
Put 7 as the next digit of the answer. 
Result so far: 77.0
Subtract 462 from 518 to get 56.
Bring next digit (5) of the dividend behind the 56 and repeat the process: 565 / 66

Step 5:
The number 66 fits into 565 8 times, leaving a remainder of 37.
Write down 8 as next digit of the result. 
Result so far: 778.0
The remainder is 37 after subtracting 528 from 565.
Append the next digit (9) from the dividend to 37 and continue with: 379 / 66

Step 6:
66 goes into 379 5 times with a remainder of 49.
Use 5 as the next digit of our solution. 
Result so far: 7785.0
Subtracting 330 from 379 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 7:
490 divided by 66 is 7 with a remainder of 28.
Record the quotient 7 as the next digit in the result. 
Result so far: 7785.7
If we take 462 away from 490, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
When dividing 280 by 66, we get 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 7785.74
The remainder is 16 after subtracting 264 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
The number 66 fits into 160 2 times, leaving a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 7785.742
Deduct 132 from 160 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
66 goes into 280 4 times with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 7785.7424
Deduct 264 from 280 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
66 can be fit into 160 2 times, resulting in a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 7785.74242
Subtract 132 from 160 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 12:
If we divide 280 by 66, we get 4 and a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 7785.742424
Subtracting 264 from 280 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 13:
If we divide 160 by 66, we get 2 and a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 7785.7424242
Subtract 132 from 160 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 14:
When dividing 280 by 66, we get 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 7785.74242424
If we take 264 away from 280, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 7785.74242424 with a remaining 1.6e-08.