We divide 586464 by 90
We want to divide 586464 by 90.

Step 1:
5 divided by 90 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 90

Let's proceed to step 2:
If we divide 58 by 90, we get 0 and a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 58 to get 58.
Fetch the next digit (6) from the dividend, attach it to 58 and continue: 586 / 90

Going ahead to step 3:
The number 90 fits into 586 6 times, leaving a remainder of 46.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 540 from 586 to get 46.
Bring next digit (4) of the dividend behind the 46 and repeat the process: 464 / 90

Moving on to step 4:
90 can be fit into 464 5 times, resulting in a remainder of 14.
Put 5 as the next digit of the answer. 
Result so far: 65.0
If we take 450 away from 464, we end up with 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 90

On to step 5:
146 divided by 90 is 1 with a remainder of 56.
Record the quotient 1 as the next digit in the result. 
Result so far: 651.0
Deduct 90 from 146 and we're left with 56.
Fetch the next digit (4) from the dividend, attach it to 56 and continue: 564 / 90

Advancing to step 6:
564 divided by 90 is 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 6516.0
The remainder is 24 after subtracting 540 from 564.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 7:
The number 90 fits into 240 2 times, leaving a remainder of 60.
The next digit of our result is 2. 
Result so far: 6516.2
Subtract 180 from 240 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
When dividing 600 by 90, we get 6 with a remainder of 60.
The number 6 becomes the next digit in our result. 
Result so far: 6516.26
Subtracting 540 from 600 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 9:
The number 90 fits into 600 6 times, leaving a remainder of 60.
The next digit of our result is 6. 
Result so far: 6516.266
Subtract 540 from 600 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

In conclusion, the division gives 6516.266 with a balance of 0.006.