We're dividing 805055 by 9 
We want to figure out the number of times 805055 can be divided by 9.

On to step 1:
If we divide 8 by 9, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 9

Going ahead to step 2:
80 divided by 9 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 8 after subtracting 72 from 80.
Include the next digit (5) from the dividend after 8, then repeat: 85 / 9

Going ahead to step 3:
The number 9 fits into 85 9 times, leaving a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 89.0
If we take 81 away from 85, we end up with 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 9

Going ahead to step 4:
9 goes into 40 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 894.0
The remainder is 4 after subtracting 36 from 40.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 9

Advancing to step 5:
45 divided by 9 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 8945.0
Deduct 45 from 45 and we're left with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 9

Going ahead to step 6:
If we divide 5 by 9, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 89450.0
Deduct 0 from 5 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 7:
9 can be fit into 50 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 89450.5
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
9 can be fit into 50 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 89450.55
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 89450.55, and the remainder is 0.005.