We're dividing 664457 by 75 
We're looking to find how many times 75 goes into 664457.

Advancing to step 1:
75 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 75

Step 2:
75 goes into 66 0 times with a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 66 after subtracting 0 from 66.
Include the next digit (4) from the dividend after 66, then repeat: 664 / 75

Step 3:
75 can be fit into 664 8 times, resulting in a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Deduct 600 from 664 and we're left with 64.
Fetch the next digit (4) from the dividend, attach it to 64 and continue: 644 / 75

Advancing to step 4:
75 goes into 644 8 times with a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 88.0
The remainder is 44 after subtracting 600 from 644.
Take the next digit (5) from the dividend and append it to 44, then repeat: 445 / 75

Let's proceed to step 5:
If we divide 445 by 75, we get 5 and a remainder of 70.
Put 5 as the next digit of the answer. 
Result so far: 885.0
If we take 375 away from 445, we end up with 70.
Bring next digit (7) of the dividend behind the 70 and repeat the process: 707 / 75

Going ahead to step 6:
707 divided by 75 is 9 with a remainder of 32.
Record the quotient 9 as the next digit in the result. 
Result so far: 8859.0
The remainder is 32 after subtracting 675 from 707.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 7:
75 goes into 320 4 times with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 8859.4
Subtracting 300 from 320 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
75 goes into 200 2 times with a remainder of 50.
The next digit of our result is 2. 
Result so far: 8859.42
If we take 150 away from 200, 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.

On to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
The next digit of our result is 6. 
Result so far: 8859.426
Subtracting 450 from 500 leaves us 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.

Moving on to step 10:
500 divided by 75 is 6 with a remainder of 50.
The next digit of our result is 6. 
Result so far: 8859.4266
If we take 450 away from 500, 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.

The final result is 8859.4266 with a remainder of 0.0005.