495519 ÷ 9 
Our goal is to divide 495519 by 9.

Let's proceed to step 1:
9 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 9

Going ahead to step 2:
If we divide 49 by 9, we get 5 and a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 45 from 49 leaves us with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 9

Going ahead to step 3:
45 divided by 9 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 55.0
Subtract 45 from 45 to get 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 9

Moving on to step 4:
9 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 550.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 9

Step 5:
If we divide 51 by 9, we get 5 and a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 5505.0
If we take 45 away from 51, we end up with 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 9

Moving on to step 6:
If we divide 69 by 9, we get 7 and a remainder of 6.
The next digit of our result is 7. 
Result so far: 55057.0
The remainder is 6 after subtracting 63 from 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
9 goes into 60 6 times with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 55057.6
Subtracting 54 from 60 leaves us 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.

Going ahead to step 8:
The number 9 fits into 60 6 times, leaving a remainder of 6.
The next digit of our result is 6. 
Result so far: 55057.66
Deduct 54 from 60 and we're left 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.

The quotient of the division is 55057.66, and the remainder is 0.006.