We're dividing 584355 by 74 
We want to divide 584355 by 74.

On to step 1:
The number 74 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 74

Going ahead to step 2:
If we divide 58 by 74, we get 0 and a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Append the next digit (4) from the dividend to 58 and continue with: 584 / 74

Going ahead to step 3:
74 can be fit into 584 7 times, resulting in a remainder of 66.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 518 from 584 and we're left with 66.
Append the next digit (3) from the dividend to 66 and continue with: 663 / 74

On to step 4:
The number 74 fits into 663 8 times, leaving a remainder of 71.
Use 8 as the next digit of our solution. 
Result so far: 78.0
If we subtract 592 from 663, we get 71.
Include the next digit (5) from the dividend after 71, then repeat: 715 / 74

Moving on to step 5:
74 goes into 715 9 times with a remainder of 49.
The next digit of our result is 9. 
Result so far: 789.0
Subtracting 666 from 715 leaves us with 49.
Append the next digit (5) from the dividend to 49 and continue with: 495 / 74

Going ahead to step 6:
If we divide 495 by 74, we get 6 and a remainder of 51.
The next digit of our result is 6. 
Result so far: 7896.0
Subtract 444 from 495 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 7:
510 divided by 74 is 6 with a remainder of 66.
The number 6 becomes the next digit in our result. 
Result so far: 7896.6
Deduct 444 from 510 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 8:
When dividing 660 by 74, we get 8 with a remainder of 68.
Use 8 as the next digit of our solution. 
Result so far: 7896.68
If we take 592 away from 660, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 9:
74 goes into 680 9 times with a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 7896.689
Subtract 666 from 680 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 10:
If we divide 140 by 74, we get 1 and a remainder of 66.
Put 1 as the next digit of the answer. 
Result so far: 7896.6891
The remainder is 66 after subtracting 74 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 11:
If we divide 660 by 74, we get 8 and a remainder of 68.
The next digit of our result is 8. 
Result so far: 7896.68918
If we take 592 away from 660, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 12:
680 divided by 74 is 9 with a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 7896.689189
If we subtract 666 from 680, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 13:
When dividing 140 by 74, we get 1 with a remainder of 66.
The next digit of our result is 1. 
Result so far: 7896.6891891
Subtract 74 from 140 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 14:
When dividing 660 by 74, we get 8 with a remainder of 68.
The next digit of our result is 8. 
Result so far: 7896.68918918
Subtracting 592 from 660 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

In conclusion, the division gives 7896.68918918 with a balance of 6.8e-08.