743235 ÷ 9 
We want to figure out the number of times 743235 can be divided by 9.

Step 1:
9 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 9

Going ahead to step 2:
The number 9 fits into 74 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 72 from 74, we get 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 9

Going ahead to step 3:
If we divide 23 by 9, we get 2 and a remainder of 5.
The next digit of our result is 2. 
Result so far: 82.0
If we take 18 away from 23, we end up with 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 9

Let's proceed to step 4:
9 goes into 52 5 times with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 825.0
Subtract 45 from 52 to get 7.
Take the next digit (3) from the dividend and append it to 7, then repeat: 73 / 9

Let's proceed to step 5:
9 can be fit into 73 8 times, resulting in a remainder of 1.
The next digit of our result is 8. 
Result so far: 8258.0
If we take 72 away from 73, we end up with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 9

Let's proceed to step 6:
The number 9 fits into 15 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 82581.0
Subtracting 9 from 15 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 7:
If we divide 60 by 9, we get 6 and a remainder of 6.
The next digit of our result is 6. 
Result so far: 82581.6
The remainder is 6 after subtracting 54 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
60 divided by 9 is 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 82581.66
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.

In conclusion, the division gives 82581.66 with a balance of 0.006.