510319 ÷ 47 
We want to divide 510319 by 47.

Going ahead to step 1:
47 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 47

Step 2:
When dividing 51 by 47, we get 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 47 away from 51, we end up with 4.
Take the next digit (0) from the dividend and append it to 4, then repeat: 40 / 47

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
Deduct 0 from 40 and we're left with 40.
Take the next digit (3) from the dividend and append it to 40, then repeat: 403 / 47

Let's proceed to step 4:
When dividing 403 by 47, we get 8 with a remainder of 27.
Use 8 as the next digit of our solution. 
Result so far: 108.0
If we take 376 away from 403, we end up with 27.
Bring next digit (1) of the dividend behind the 27 and repeat the process: 271 / 47

On to step 5:
47 goes into 271 5 times with a remainder of 36.
Record the quotient 5 as the next digit in the result. 
Result so far: 1085.0
Subtracting 235 from 271 leaves us with 36.
Include the next digit (9) from the dividend after 36, then repeat: 369 / 47

On to step 6:
369 divided by 47 is 7 with a remainder of 40.
Write down 7 as next digit of the result. 
Result so far: 10857.0
The remainder is 40 after subtracting 329 from 369.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 7:
400 divided by 47 is 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 10857.8
Subtracting 376 from 400 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 8:
The number 47 fits into 240 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 10857.85
If we subtract 235 from 240, we 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 9:
When dividing 50 by 47, we get 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 10857.851
Subtracting 47 from 50 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
If we divide 30 by 47, we get 0 and a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 10857.851
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
When dividing 300 by 47, we get 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 10857.85106
If we subtract 282 from 300, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 12:
47 goes into 180 3 times with a remainder of 39.
Use 3 as the next digit of our solution. 
Result so far: 10857.851063
The remainder is 39 after subtracting 141 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 13:
390 divided by 47 is 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 10857.8510638
If we subtract 376 from 390, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 14:
The number 47 fits into 140 2 times, leaving a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 10857.85106382
If we subtract 94 from 140, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

The quotient of the division is 10857.85106382, and the remainder is 4.6e-08.