We're dividing 517281 by 66 
We want to divide 517281 by 66.

Advancing to step 1:
66 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 66

Moving on to step 2:
The number 66 fits into 51 0 times, leaving a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 51 after subtracting 0 from 51.
Bring next digit (7) of the dividend behind the 51 and repeat the process: 517 / 66

Step 3:
66 goes into 517 7 times with a remainder of 55.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 55 after subtracting 462 from 517.
Append the next digit (2) from the dividend to 55 and continue with: 552 / 66

Let's proceed to step 4:
66 can be fit into 552 8 times, resulting in a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 78.0
Subtract 528 from 552 to get 24.
Bring next digit (8) of the dividend behind the 24 and repeat the process: 248 / 66

Step 5:
The number 66 fits into 248 3 times, leaving a remainder of 50.
Record the quotient 3 as the next digit in the result. 
Result so far: 783.0
Subtracting 198 from 248 leaves us with 50.
Fetch the next digit (1) from the dividend, attach it to 50 and continue: 501 / 66

On to step 6:
66 goes into 501 7 times with a remainder of 39.
The next digit of our result is 7. 
Result so far: 7837.0
If we take 462 away from 501, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 7:
66 goes into 390 5 times with a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 7837.5
If we subtract 330 from 390, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 8:
66 goes into 600 9 times with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 7837.59
If we subtract 594 from 600, 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.

Let's proceed to step 9:
The number 66 fits into 60 0 times, leaving a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 7837.59
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 10:
66 can be fit into 600 9 times, resulting in a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 7837.5909
If we take 594 away from 600, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
If we divide 60 by 66, we get 0 and a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 7837.5909
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 12:
The number 66 fits into 600 9 times, leaving a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 7837.590909
The remainder is 6 after subtracting 594 from 600.
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 13:
60 divided by 66 is 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 7837.590909
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 14:
The number 66 fits into 600 9 times, leaving a remainder of 6.
The next digit of our result is 9. 
Result so far: 7837.59090909
Subtract 594 from 600 to 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.

The quotient of the division is 7837.59090909, and the remainder is 6e-09.