We're dividing 584323 by 74 
We want to divide 584323 by 74.

On to step 1:
The number 74 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 74

On to step 2:
74 can be fit into 58 0 times, resulting in 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.
Bring next digit (4) of the dividend behind the 58 and repeat the process: 584 / 74

Advancing to step 3:
74 can be fit into 584 7 times, resulting in a remainder of 66.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 518 from 584 to get 66.
Append the next digit (3) from the dividend to 66 and continue with: 663 / 74

On to step 4:
When dividing 663 by 74, we get 8 with a remainder of 71.
The next digit of our result is 8. 
Result so far: 78.0
Deduct 592 from 663 and we're left with 71.
Grab the next digit (2) from the dividend, add it to 71, then carry on: 712 / 74

Let's proceed to step 5:
If we divide 712 by 74, we get 9 and a remainder of 46.
Use 9 as the next digit of our solution. 
Result so far: 789.0
If we subtract 666 from 712, we get 46.
Include the next digit (3) from the dividend after 46, then repeat: 463 / 74

Moving on to step 6:
74 can be fit into 463 6 times, resulting in a remainder of 19.
Use 6 as the next digit of our solution. 
Result so far: 7896.0
Subtract 444 from 463 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 7:
If we divide 190 by 74, we get 2 and a remainder of 42.
Record the quotient 2 as the next digit in the result. 
Result so far: 7896.2
If we subtract 148 from 190, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
When dividing 420 by 74, we get 5 with a remainder of 50.
Record the quotient 5 as the next digit in the result. 
Result so far: 7896.25
The remainder is 50 after subtracting 370 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
The number 74 fits into 500 6 times, leaving a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 7896.256
If we subtract 444 from 500, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 10:
When dividing 560 by 74, we get 7 with a remainder of 42.
Use 7 as the next digit of our solution. 
Result so far: 7896.2567
The remainder is 42 after subtracting 518 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 11:
The number 74 fits into 420 5 times, leaving a remainder of 50.
The next digit of our result is 5. 
Result so far: 7896.25675
If we take 370 away from 420, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 12:
500 divided by 74 is 6 with a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 7896.256756
Subtract 444 from 500 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 13:
The number 74 fits into 560 7 times, leaving a remainder of 42.
Write down 7 as next digit of the result. 
Result so far: 7896.2567567
Deduct 518 from 560 and we're left 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.

Advancing to step 14:
The number 74 fits into 420 5 times, leaving a remainder of 50.
The next digit of our result is 5. 
Result so far: 7896.25675675
Subtract 370 from 420 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

After the division, we end up with 7896.25675675 and a remainder of 5e-08.