Let's divide 580376 by 90
We want to divide 580376 by 90.

Step 1:
When dividing 5 by 90, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 90

Step 2:
90 goes into 58 0 times with a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Take the next digit (0) from the dividend and append it to 58, then repeat: 580 / 90

Step 3:
The number 90 fits into 580 6 times, leaving a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 540 from 580 and we're left with 40.
Grab the next digit (3) from the dividend, add it to 40, then carry on: 403 / 90

On to step 4:
403 divided by 90 is 4 with a remainder of 43.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
Deduct 360 from 403 and we're left with 43.
Append the next digit (7) from the dividend to 43 and continue with: 437 / 90

Going ahead to step 5:
90 goes into 437 4 times with a remainder of 77.
Record the quotient 4 as the next digit in the result. 
Result so far: 644.0
The remainder is 77 after subtracting 360 from 437.
Include the next digit (6) from the dividend after 77, then repeat: 776 / 90

Advancing to step 6:
90 can be fit into 776 8 times, resulting in a remainder of 56.
The next digit of our result is 8. 
Result so far: 6448.0
Subtracting 720 from 776 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 7:
If we divide 560 by 90, we get 6 and a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 6448.6
Deduct 540 from 560 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
The number 90 fits into 200 2 times, leaving a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 6448.62
Deduct 180 from 200 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
90 goes into 200 2 times with a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 6448.622
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 6448.622 with a remainder of 0.002.