757063 ÷ 9 
We want to figure out the number of times 757063 can be divided by 9.

Going ahead to step 1:
9 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 9

Let's proceed to step 2:
9 goes into 75 8 times with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 72 away from 75, we end up with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 9

On to step 3:
The number 9 fits into 37 4 times, leaving a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 84.0
The remainder is 1 after subtracting 36 from 37.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 9

Advancing to step 4:
If we divide 10 by 9, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 841.0
Subtract 9 from 10 to get 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 9

Step 5:
When dividing 16 by 9, we get 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 8411.0
The remainder is 7 after subtracting 9 from 16.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 9

Step 6:
If we divide 73 by 9, we get 8 and a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 84118.0
If we subtract 72 from 73, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
9 can be fit into 10 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 84118.1
Subtract 9 from 10 to get 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.
The next digit of our result is 1. 
Result so far: 84118.11
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.

The final result is 84118.11 with a remainder of 0.001.