We look at the division of 510666 by 47 
We're looking to find how many times 47 goes into 510666.

Advancing to step 1:
5 divided by 47 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 47

On to step 2:
The number 47 fits into 51 1 times, leaving a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 4 after subtracting 47 from 51.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 47

Moving on to step 3:
The number 47 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 40, we get 40.
Append the next digit (6) from the dividend to 40 and continue with: 406 / 47

Moving on to step 4:
The number 47 fits into 406 8 times, leaving a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 108.0
If we take 376 away from 406, we end up with 30.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 47

Advancing to step 5:
The number 47 fits into 306 6 times, leaving a remainder of 24.
The next digit of our result is 6. 
Result so far: 1086.0
The remainder is 24 after subtracting 282 from 306.
Append the next digit (6) from the dividend to 24 and continue with: 246 / 47

Let's proceed to step 6:
The number 47 fits into 246 5 times, leaving a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 10865.0
Subtracting 235 from 246 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
47 goes into 110 2 times with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 10865.2
Deduct 94 from 110 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.

Going ahead to step 8:
The number 47 fits into 160 3 times, leaving a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 10865.23
If we take 141 away from 160, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 9:
The number 47 fits into 190 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 10865.234
The remainder is 2 after subtracting 188 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
20 divided by 47 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 10865.234
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
When dividing 200 by 47, we get 4 with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 10865.23404
Subtract 188 from 200 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.

Advancing to step 12:
If we divide 120 by 47, we get 2 and a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 10865.234042
Subtract 94 from 120 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 13:
If we divide 260 by 47, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 10865.2340425
Subtracting 235 from 260 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 14:
If we divide 250 by 47, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 10865.23404255
If we take 235 away from 250, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 10865.23404255 with a balance of 1.5e-08.