350729 ÷ 9 
We want to figure out the number of times 350729 can be divided by 9.

Going ahead to step 1:
9 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 9

Moving on to step 2:
If we divide 35 by 9, we get 3 and a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 27 away from 35, we end up with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 9

Going ahead to step 3:
9 goes into 80 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
Deduct 72 from 80 and we're left with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 9

Let's proceed to step 4:
When dividing 87 by 9, we get 9 with a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 389.0
Subtracting 81 from 87 leaves us with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 9

Let's proceed to step 5:
9 goes into 62 6 times with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 3896.0
The remainder is 8 after subtracting 54 from 62.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 9

On to step 6:
When dividing 89 by 9, we get 9 with a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 38969.0
Subtracting 81 from 89 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
9 can be fit into 80 8 times, resulting in a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 38969.8
Subtracting 72 from 80 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
9 can be fit into 80 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 38969.88
Deduct 72 from 80 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 38969.88 with a balance of 0.008.