Let's divide 644565 by 75
We want to figure out the number of times 644565 can be divided by 75.

Step 1:
When dividing 6 by 75, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 75

Let's proceed to step 2:
If we divide 64 by 75, we get 0 and a remainder of 64.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Bring next digit (4) of the dividend behind the 64 and repeat the process: 644 / 75

Step 3:
75 can be fit into 644 8 times, resulting in a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 600 from 644 and we're left with 44.
Grab the next digit (5) from the dividend, add it to 44, then carry on: 445 / 75

Moving on to step 4:
The number 75 fits into 445 5 times, leaving a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 85.0
If we subtract 375 from 445, we get 70.
Append the next digit (6) from the dividend to 70 and continue with: 706 / 75

On to step 5:
706 divided by 75 is 9 with a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 859.0
Deduct 675 from 706 and we're left with 31.
Bring next digit (5) of the dividend behind the 31 and repeat the process: 315 / 75

On to step 6:
75 can be fit into 315 4 times, resulting in a remainder of 15.
Write down 4 as next digit of the result. 
Result so far: 8594.0
Subtracting 300 from 315 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 7:
If we divide 150 by 75, we get 2 and a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 8594.2
Subtracting 150 from 150 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
If we divide 0 by 75, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 8594.2
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
When dividing 0 by 75, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 8594.2
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 8594.2 and a remainder of 0.0.