We divide 682969 by 75
We want to divide 682969 by 75.

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.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 75

On to step 2:
If we divide 68 by 75, we get 0 and a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Include the next digit (2) from the dividend after 68, then repeat: 682 / 75

Let's proceed to step 3:
682 divided by 75 is 9 with a remainder of 7.
The next digit of our result is 9. 
Result so far: 9.0
If we subtract 675 from 682, we get 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 75

Step 4:
75 can be fit into 79 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 91.0
If we subtract 75 from 79, we get 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 75

Step 5:
75 can be fit into 46 0 times, resulting in a remainder of 46.
Record the quotient 0 as the next digit in the result. 
Result so far: 910.0
If we take 0 away from 46, we end up with 46.
Bring next digit (9) of the dividend behind the 46 and repeat the process: 469 / 75

On to step 6:
The number 75 fits into 469 6 times, leaving a remainder of 19.
The next digit of our result is 6. 
Result so far: 9106.0
If we take 450 away from 469, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
190 divided by 75 is 2 with a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 9106.2
Subtracting 150 from 190 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
75 can be fit into 400 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 9106.25
If we subtract 375 from 400, 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 9:
If we divide 250 by 75, we get 3 and a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 9106.253
The remainder is 25 after subtracting 225 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
250 divided by 75 is 3 with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 9106.2533
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.

The final result is 9106.2533 with a remainder of 0.00025.