Let's divide 585878 by 9
We want to divide 585878 by 9.

Step 1:
When dividing 5 by 9, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 9

Moving on to step 2:
9 can be fit into 58 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 54 from 58 leaves us with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 9

Advancing to step 3:
The number 9 fits into 45 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 65.0
Subtracting 45 from 45 leaves us with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 9

Step 4:
When dividing 8 by 9, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 650.0
If we take 0 away from 8, we end up with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 9

Step 5:
If we divide 87 by 9, we get 9 and a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 6509.0
Deduct 81 from 87 and we're left with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 9

On to step 6:
9 can be fit into 68 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 65097.0
The remainder is 5 after subtracting 63 from 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
50 divided by 9 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 65097.5
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:
If we divide 50 by 9, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 65097.55
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 65097.55 with a remainder of 0.005.