We look at the division of 646007 by 75 
We want to figure out the number of times 646007 can be divided by 75.

Advancing to step 1:
The number 75 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 75

Step 2:
If we divide 64 by 75, we get 0 and a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Fetch the next digit (6) from the dividend, attach it to 64 and continue: 646 / 75

Going ahead to step 3:
If we divide 646 by 75, we get 8 and a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 600 from 646 leaves us with 46.
Fetch the next digit (0) from the dividend, attach it to 46 and continue: 460 / 75

Let's proceed to step 4:
460 divided by 75 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 86.0
Subtracting 450 from 460 leaves us with 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 75

Going ahead to step 5:
If we divide 100 by 75, we get 1 and a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 861.0
Subtracting 75 from 100 leaves us with 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 75

Moving on to step 6:
75 goes into 257 3 times with a remainder of 32.
Put 3 as the next digit of the answer. 
Result so far: 8613.0
The remainder is 32 after subtracting 225 from 257.
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:
320 divided by 75 is 4 with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 8613.4
Deduct 300 from 320 and we're left 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.

Let's proceed to step 8:
If we divide 200 by 75, we get 2 and a remainder of 50.
The next digit of our result is 2. 
Result so far: 8613.42
Subtract 150 from 200 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.

On to step 9:
75 goes into 500 6 times with a remainder of 50.
The next digit of our result is 6. 
Result so far: 8613.426
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.

Going ahead to step 10:
When dividing 500 by 75, we get 6 with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 8613.4266
Subtract 450 from 500 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.

The final result is 8613.4266 with a remainder of 0.0005.