We look at the division of 509888 by 11 
Let's see how many times 11 fits into 509888.

Let's proceed to step 1:
5 divided by 11 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 11

Going ahead to step 2:
When dividing 50 by 11, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtracting 44 from 50 leaves us with 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 11

Advancing to step 3:
69 divided by 11 is 6 with a remainder of 3.
The next digit of our result is 6. 
Result so far: 46.0
Subtracting 66 from 69 leaves us with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 11

Going ahead to step 4:
If we divide 38 by 11, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 463.0
If we subtract 33 from 38, we get 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 11

On to step 5:
If we divide 58 by 11, we get 5 and a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 4635.0
Deduct 55 from 58 and we're left with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 11

On to step 6:
11 goes into 38 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 46353.0
The remainder is 5 after subtracting 33 from 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
If we divide 50 by 11, we get 4 and a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 46353.4
If we take 44 away from 50, 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.

Moving on to step 8:
11 goes into 60 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 46353.45
Deduct 55 from 60 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
If we divide 50 by 11, we get 4 and a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 46353.454
If we take 44 away from 50, 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.

Moving on to step 10:
If we divide 60 by 11, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 46353.4545
If we subtract 55 from 60, 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.

Going ahead to step 11:
If we divide 50 by 11, we get 4 and a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 46353.45454
If we subtract 44 from 50, 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 12:
60 divided by 11 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 46353.454545
If we take 55 away from 60, we end up with 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 13:
11 can be fit into 50 4 times, resulting in a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 46353.4545454
The remainder is 6 after subtracting 44 from 50.
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 14:
The number 11 fits into 60 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 46353.45454545
If we take 55 away from 60, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 46353.45454545 with a remainder of 5e-09.