We're dividing 578966 by 90 
Let's see how many times 90 fits into 578966.

On to step 1:
The number 90 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 90

Going ahead to step 2:
The number 90 fits into 57 0 times, leaving a remainder of 57.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 57 and we're left with 57.
Append the next digit (8) from the dividend to 57 and continue with: 578 / 90

Let's proceed to step 3:
The number 90 fits into 578 6 times, leaving a remainder of 38.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 540 from 578 leaves us with 38.
Include the next digit (9) from the dividend after 38, then repeat: 389 / 90

Going ahead to step 4:
389 divided by 90 is 4 with a remainder of 29.
Put 4 as the next digit of the answer. 
Result so far: 64.0
Subtract 360 from 389 to get 29.
Grab the next digit (6) from the dividend, add it to 29, then carry on: 296 / 90

Let's proceed to step 5:
90 can be fit into 296 3 times, resulting in a remainder of 26.
Use 3 as the next digit of our solution. 
Result so far: 643.0
Subtracting 270 from 296 leaves us with 26.
Fetch the next digit (6) from the dividend, attach it to 26 and continue: 266 / 90

Advancing to step 6:
90 goes into 266 2 times with a remainder of 86.
Write down 2 as next digit of the result. 
Result so far: 6432.0
Subtracting 180 from 266 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 7:
The number 90 fits into 860 9 times, leaving a remainder of 50.
The number 9 becomes the next digit in our result. 
Result so far: 6432.9
Deduct 810 from 860 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
500 divided by 90 is 5 with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 6432.95
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
90 can be fit into 500 5 times, resulting in a remainder of 50.
The next digit of our result is 5. 
Result so far: 6432.955
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

In conclusion, the division gives 6432.955 with a balance of 0.005.