We're dividing 6876569 by 750 
Our goal is to divide 6876569 by 750.

Step 1:
750 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 750

Step 2:
68 divided by 750 is 0 with 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.
Bring next digit (7) of the dividend behind the 68 and repeat the process: 687 / 750

Going ahead to step 3:
The number 750 fits into 687 0 times, leaving a remainder of 687.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 687, we end up with 687.
Fetch the next digit (6) from the dividend, attach it to 687 and continue: 6876 / 750

Step 4:
750 goes into 6876 9 times with a remainder of 126.
The next digit of our result is 9. 
Result so far: 9.0
If we take 6750 away from 6876, we end up with 126.
Take the next digit (5) from the dividend and append it to 126, then repeat: 1265 / 750

Going ahead to step 5:
When dividing 1265 by 750, we get 1 with a remainder of 515.
Put 1 as the next digit of the answer. 
Result so far: 91.0
If we take 750 away from 1265, we end up with 515.
Take the next digit (6) from the dividend and append it to 515, then repeat: 5156 / 750

Step 6:
750 can be fit into 5156 6 times, resulting in a remainder of 656.
The number 6 becomes the next digit in our result. 
Result so far: 916.0
If we subtract 4500 from 5156, we get 656.
Take the next digit (9) from the dividend and append it to 656, then repeat: 6569 / 750

Moving on to step 7:
If we divide 6569 by 750, we get 8 and a remainder of 569.
The number 8 becomes the next digit in our result. 
Result so far: 9168.0
Deduct 6000 from 6569 and we're left with 569.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5690, and continue the process.

Moving on to step 8:
5690 divided by 750 is 7 with a remainder of 440.
The next digit of our result is 7. 
Result so far: 9168.7
If we take 5250 away from 5690, we end up with 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Advancing to step 9:
750 goes into 4400 5 times with a remainder of 650.
Record the quotient 5 as the next digit in the result. 
Result so far: 9168.75
Deduct 3750 from 4400 and we're left with 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6500, and continue the process.

Let's proceed to step 10:
If we divide 6500 by 750, we get 8 and a remainder of 500.
Use 8 as the next digit of our solution. 
Result so far: 9168.758
If we take 6000 away from 6500, we end up with 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Advancing to step 11:
750 goes into 5000 6 times with a remainder of 500.
Use 6 as the next digit of our solution. 
Result so far: 9168.7586
Subtracting 4500 from 5000 leaves us with 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

Step 12:
When dividing 5000 by 750, we get 6 with a remainder of 500.
Use 6 as the next digit of our solution. 
Result so far: 9168.75866
If we take 4500 away from 5000, we end up with 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5000, and continue the process.

After the division, we end up with 9168.75866 and a remainder of 0.0005.