We look at the division of 584725 by 74 
We want to figure out the number of times 584725 can be divided by 74.

Step 1:
The number 74 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 74

Going ahead to step 2:
The number 74 fits into 58 0 times, leaving a remainder of 58.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 58 and we're left with 58.
Grab the next digit (4) from the dividend, add it to 58, then carry on: 584 / 74

On to step 3:
74 goes into 584 7 times with a remainder of 66.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 518 from 584, we get 66.
Bring next digit (7) of the dividend behind the 66 and repeat the process: 667 / 74

Going ahead to step 4:
The number 74 fits into 667 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 79.0
If we subtract 666 from 667, we get 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 74

Advancing to step 5:
If we divide 12 by 74, we get 0 and a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 790.0
Subtract 0 from 12 to get 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 74

Moving on to step 6:
74 goes into 125 1 times with a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 7901.0
If we subtract 74 from 125, we 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:
74 can be fit into 510 6 times, resulting in a remainder of 66.
Put 6 as the next digit of the answer. 
Result so far: 7901.6
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:
74 goes into 660 8 times with a remainder of 68.
Put 8 as the next digit of the answer. 
Result so far: 7901.68
Deduct 592 from 660 and we're left 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 9:
When dividing 680 by 74, we get 9 with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 7901.689
Subtracting 666 from 680 leaves us with 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:
74 can be fit into 140 1 times, resulting in a remainder of 66.
Put 1 as the next digit of the answer. 
Result so far: 7901.6891
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.

Moving on 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: 7901.68918
Deduct 592 from 660 and we're left 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.

Step 12:
When dividing 680 by 74, we get 9 with a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 7901.689189
Subtracting 666 from 680 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 13:
140 divided by 74 is 1 with a remainder of 66.
The number 1 becomes the next digit in our result. 
Result so far: 7901.6891891
If we subtract 74 from 140, we 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.

Let's proceed to step 14:
The number 74 fits into 660 8 times, leaving a remainder of 68.
Record the quotient 8 as the next digit in the result. 
Result so far: 7901.68918918
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 7901.68918918 with a balance of 6.8e-08.