517753 ÷ 9 
Our goal is to divide 517753 by 9.

Going ahead to step 1:
When dividing 5 by 9, we get 0 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.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 9

On to step 2:
9 can be fit into 51 5 times, resulting in a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 45 away from 51, we end up with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 9

Let's proceed to step 3:
9 goes into 67 7 times with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 57.0
Subtract 63 from 67 to get 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 9

Moving on to step 4:
When dividing 47 by 9, we get 5 with a remainder of 2.
The next digit of our result is 5. 
Result so far: 575.0
If we take 45 away from 47, we end up with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 9

Going ahead to step 5:
If we divide 25 by 9, we get 2 and a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 5752.0
The remainder is 7 after subtracting 18 from 25.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 9

Step 6:
When dividing 73 by 9, we get 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 57528.0
If we take 72 away from 73, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
If we divide 10 by 9, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 57528.1
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
If we divide 10 by 9, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 57528.11
If we take 9 away from 10, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 57528.11 with a remainder of 0.001.