We're dividing 727561 by 9 
Let's see how many times 9 fits into 727561.

Advancing to step 1:
If we divide 7 by 9, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 9

Step 2:
9 can be fit into 72 8 times, resulting in a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 72 from 72 and we're left with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 9

Advancing to step 3:
9 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 80.0
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

Advancing to step 4:
9 goes into 75 8 times with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 808.0
Deduct 72 from 75 and we're left with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 9

Going ahead to step 5:
The number 9 fits into 36 4 times, leaving a remainder of 0.
The next digit of our result is 4. 
Result so far: 8084.0
The remainder is 0 after subtracting 36 from 36.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 9

Advancing to step 6:
9 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 80840.0
Subtracting 0 from 1 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.

On 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: 80840.1
The remainder is 1 after subtracting 9 from 10.
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 8:
9 can be fit into 10 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 80840.11
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 80840.11 with a remainder of 0.001.