We look at the division of 585399 by 78 
We want to divide 585399 by 78.

Step 1:
The number 78 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
Subtract 0 from 5 to get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 78

Step 2:
If we divide 58 by 78, we get 0 and a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Grab the next digit (5) from the dividend, add it to 58, then carry on: 585 / 78

Let's proceed to step 3:
585 divided by 78 is 7 with a remainder of 39.
The next digit of our result is 7. 
Result so far: 7.0
Deduct 546 from 585 and we're left with 39.
Fetch the next digit (3) from the dividend, attach it to 39 and continue: 393 / 78

Step 4:
78 can be fit into 393 5 times, resulting in a remainder of 3.
The next digit of our result is 5. 
Result so far: 75.0
Subtract 390 from 393 to get 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 78

On to step 5:
78 goes into 39 0 times with a remainder of 39.
The number 0 becomes the next digit in our result. 
Result so far: 750.0
If we take 0 away from 39, we end up with 39.
Grab the next digit (9) from the dividend, add it to 39, then carry on: 399 / 78

Moving on to step 6:
78 goes into 399 5 times with a remainder of 9.
Put 5 as the next digit of the answer. 
Result so far: 7505.0
Subtract 390 from 399 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
When dividing 90 by 78, we get 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 7505.1
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
If we divide 120 by 78, we get 1 and a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 7505.11
Subtracting 78 from 120 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Our division results in 7505.11 with a remaining 0.042.