We divide 389584 by 75
We want to figure out the number of times 389584 can be divided by 75.

On to step 1:
The number 75 fits into 3 0 times, leaving a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 75

Moving on to step 2:
The number 75 fits into 38 0 times, leaving a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 38 after subtracting 0 from 38.
Include the next digit (9) from the dividend after 38, then repeat: 389 / 75

On to step 3:
389 divided by 75 is 5 with a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 14 after subtracting 375 from 389.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 75

Advancing to step 4:
75 goes into 145 1 times with a remainder of 70.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
If we subtract 75 from 145, we get 70.
Include the next digit (8) from the dividend after 70, then repeat: 708 / 75

Moving on to step 5:
If we divide 708 by 75, we get 9 and a remainder of 33.
The next digit of our result is 9. 
Result so far: 519.0
Subtract 675 from 708 to get 33.
Grab the next digit (4) from the dividend, add it to 33, then carry on: 334 / 75

Step 6:
75 can be fit into 334 4 times, resulting in a remainder of 34.
Record the quotient 4 as the next digit in the result. 
Result so far: 5194.0
Subtracting 300 from 334 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
The number 75 fits into 340 4 times, leaving a remainder of 40.
Use 4 as the next digit of our solution. 
Result so far: 5194.4
Deduct 300 from 340 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
75 can be fit into 400 5 times, resulting in a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 5194.45
Subtracting 375 from 400 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 5194.453
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 10:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 5194.4533
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

After the division, we end up with 5194.4533 and a remainder of 0.00025.