665970 ÷ 75 
We're looking to find how many times 75 goes into 665970.

Going ahead to step 1:
75 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of 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

Step 2:
When dividing 66 by 75, we get 0 with a remainder of 66.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Grab the next digit (5) from the dividend, add it to 66, then carry on: 665 / 75

On to step 3:
75 goes into 665 8 times with a remainder of 65.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 600 from 665 leaves us with 65.
Grab the next digit (9) from the dividend, add it to 65, then carry on: 659 / 75

Moving on to step 4:
When dividing 659 by 75, we get 8 with a remainder of 59.
Record the quotient 8 as the next digit in the result. 
Result so far: 88.0
If we subtract 600 from 659, we get 59.
Fetch the next digit (7) from the dividend, attach it to 59 and continue: 597 / 75

Going ahead to step 5:
597 divided by 75 is 7 with a remainder of 72.
The next digit of our result is 7. 
Result so far: 887.0
If we take 525 away from 597, we end up with 72.
Take the next digit (0) from the dividend and append it to 72, then repeat: 720 / 75

Let's proceed to step 6:
75 can be fit into 720 9 times, resulting in a remainder of 45.
The next digit of our result is 9. 
Result so far: 8879.0
Subtract 675 from 720 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 7:
When dividing 450 by 75, we get 6 with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 8879.6
Subtract 450 from 450 to 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.

On to step 8:
0 divided by 75 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 8879.6
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.

Going ahead to step 9:
75 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 8879.6
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.

The quotient of the division is 8879.6, and the remainder is 0.0.