We look at the division of 743582 by 9 
We're looking to find how many times 9 goes into 743582.

Advancing to step 1:
7 divided by 9 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 9

Going ahead to step 2:
9 can be fit into 74 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 72 from 74 and we're left with 2.
Include the next digit (3) from the dividend after 2, then repeat: 23 / 9

On to step 3:
9 can be fit into 23 2 times, resulting in a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 82.0
Subtracting 18 from 23 leaves us with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 9

Moving on to step 4:
If we divide 55 by 9, we get 6 and a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 826.0
Deduct 54 from 55 and we're left with 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 9

Let's proceed to step 5:
9 goes into 18 2 times with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 8262.0
The remainder is 0 after subtracting 18 from 18.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 9

Moving on to step 6:
9 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 82620.0
Subtracting 0 from 2 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
9 goes into 20 2 times with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 82620.2
Subtracting 18 from 20 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
If we divide 20 by 9, we get 2 and a remainder of 2.
The next digit of our result is 2. 
Result so far: 82620.22
Subtract 18 from 20 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 82620.22 with a remainder of 0.002.