509510 ÷ 47 
Our goal is to divide 509510 by 47.

On to step 1:
The number 47 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 47

On to step 2:
47 goes into 50 1 times with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 47 from 50 to get 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 47

On to step 3:
47 can be fit into 39 0 times, resulting in a remainder of 39.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 39 leaves us with 39.
Grab the next digit (5) from the dividend, add it to 39, then carry on: 395 / 47

Advancing to step 4:
If we divide 395 by 47, we get 8 and a remainder of 19.
Use 8 as the next digit of our solution. 
Result so far: 108.0
If we subtract 376 from 395, we get 19.
Include the next digit (1) from the dividend after 19, then repeat: 191 / 47

Let's proceed to step 5:
If we divide 191 by 47, we get 4 and a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 1084.0
If we take 188 away from 191, we end up with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 47

Advancing to step 6:
The number 47 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 10840.0
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.

Advancing to step 7:
The number 47 fits into 300 6 times, leaving a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 10840.6
Subtract 282 from 300 to 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.

On to step 8:
When dividing 180 by 47, we get 3 with a remainder of 39.
Record the quotient 3 as the next digit in the result. 
Result so far: 10840.63
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.

On to step 9:
If we divide 390 by 47, we get 8 and a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 10840.638
Subtract 376 from 390 to 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.

Step 10:
If we divide 140 by 47, we get 2 and a remainder of 46.
The next digit of our result is 2. 
Result so far: 10840.6382
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.

Advancing to step 11:
47 goes into 460 9 times with a remainder of 37.
Record the quotient 9 as the next digit in the result. 
Result so far: 10840.63829
The remainder is 37 after subtracting 423 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 12:
The number 47 fits into 370 7 times, leaving a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 10840.638297
Subtracting 329 from 370 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 13:
The number 47 fits into 410 8 times, leaving a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 10840.6382978
Subtracting 376 from 410 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 14:
340 divided by 47 is 7 with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 10840.63829787
Subtract 329 from 340 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 10840.63829787 with a remainder of 1.1e-08.