Let's divide 665629 by 75
Our goal is to divide 665629 by 75.

Advancing to step 1:
6 divided by 75 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 75

On to step 2:
75 can be fit into 66 0 times, resulting in a remainder of 66.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 66, we get 66.
Bring next digit (5) of the dividend behind the 66 and repeat the process: 665 / 75

Going ahead to step 3:
75 goes into 665 8 times with a remainder of 65.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we subtract 600 from 665, we get 65.
Fetch the next digit (6) from the dividend, attach it to 65 and continue: 656 / 75

Advancing to step 4:
If we divide 656 by 75, we get 8 and a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 88.0
Deduct 600 from 656 and we're left with 56.
Bring next digit (2) of the dividend behind the 56 and repeat the process: 562 / 75

Moving on to step 5:
When dividing 562 by 75, we get 7 with a remainder of 37.
The next digit of our result is 7. 
Result so far: 887.0
The remainder is 37 after subtracting 525 from 562.
Fetch the next digit (9) from the dividend, attach it to 37 and continue: 379 / 75

Advancing to step 6:
75 goes into 379 5 times with a remainder of 4.
The next digit of our result is 5. 
Result so far: 8875.0
Subtract 375 from 379 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
When dividing 40 by 75, we get 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 8875.0
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
If we divide 400 by 75, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 8875.05
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.

On to step 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
The next digit of our result is 3. 
Result so far: 8875.053
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
250 divided by 75 is 3 with a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 8875.0533
Deduct 225 from 250 and we're left 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.

The final outcome is 8875.0533, with a leftover of 0.00025.