531097 ÷ 9 
We want to divide 531097 by 9.

On to step 1:
The number 9 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 9

On to step 2:
When dividing 53 by 9, we get 5 with a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 45 from 53 and we're left with 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 9

Let's proceed to step 3:
81 divided by 9 is 9 with a remainder of 0.
Use 9 as the next digit of our solution. 
Result so far: 59.0
If we take 81 away from 81, we end up with 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 9

Moving on to step 4:
9 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 590.0
Subtracting 0 from 0 leaves us with 0.
Grab the next digit (9) from the dividend, add it to 0, then carry on: 9 / 9

Let's proceed to step 5:
When dividing 9 by 9, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 5901.0
If we take 9 away from 9, we end up with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 9

On to step 6:
When dividing 7 by 9, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 59010.0
Subtracting 0 from 7 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
9 can be fit into 70 7 times, resulting in a remainder of 7.
The next digit of our result is 7. 
Result so far: 59010.7
If we take 63 away from 70, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 8:
The number 9 fits into 70 7 times, leaving a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 59010.77
The remainder is 7 after subtracting 63 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 59010.77 with a remainder of 0.007.