723635 ÷ 9 
Let's see how many times 9 fits into 723635.

On to step 1:
When dividing 7 by 9, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 9

Step 2:
9 goes into 72 8 times with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 72 from 72 leaves us with 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 9

Advancing to step 3:
3 divided by 9 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 80.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 9

On to step 4:
The number 9 fits into 36 4 times, leaving a remainder of 0.
The next digit of our result is 4. 
Result so far: 804.0
Deduct 36 from 36 and we're left with 0.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 9

Advancing to step 5:
3 divided by 9 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 8040.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 9

On to step 6:
35 divided by 9 is 3 with a remainder of 8.
The number 3 becomes the next digit in our result. 
Result so far: 80403.0
If we take 27 away from 35, we end up 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 goes into 80 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 80403.8
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.

Moving on to step 8:
If we divide 80 by 9, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 80403.88
If we take 72 away from 80, we end up 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.

The final outcome is 80403.88, with a leftover of 0.008.