We look at the division of 580081 by 90 
Let's see how many times 90 fits into 580081.

Let's proceed to step 1:
When dividing 5 by 90, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 90

Going ahead to step 2:
90 can be fit into 58 0 times, resulting in a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Fetch the next digit (0) from the dividend, attach it to 58 and continue: 580 / 90

Going ahead to step 3:
90 goes into 580 6 times with a remainder of 40.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 540 from 580 to get 40.
Bring next digit (0) of the dividend behind the 40 and repeat the process: 400 / 90

Advancing to step 4:
When dividing 400 by 90, we get 4 with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 64.0
Subtracting 360 from 400 leaves us with 40.
Grab the next digit (8) from the dividend, add it to 40, then carry on: 408 / 90

Moving on to step 5:
When dividing 408 by 90, we get 4 with a remainder of 48.
Record the quotient 4 as the next digit in the result. 
Result so far: 644.0
If we take 360 away from 408, we end up with 48.
Fetch the next digit (1) from the dividend, attach it to 48 and continue: 481 / 90

Advancing to step 6:
If we divide 481 by 90, we get 5 and a remainder of 31.
The number 5 becomes the next digit in our result. 
Result so far: 6445.0
Subtracting 450 from 481 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
90 can be fit into 310 3 times, resulting in a remainder of 40.
Put 3 as the next digit of the answer. 
Result so far: 6445.3
Subtracting 270 from 310 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
90 can be fit into 400 4 times, resulting in a remainder of 40.
The next digit of our result is 4. 
Result so far: 6445.34
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
90 goes into 400 4 times with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 6445.344
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 6445.344 with a remainder of 0.004.