We're dividing 816676 by 75 
We want to figure out the number of times 816676 can be divided by 75.

Let's proceed to step 1:
The number 75 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (1) from the dividend after 8, then repeat: 81 / 75

Going ahead to step 2:
The number 75 fits into 81 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 75 from 81 and we're left with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 75

Step 3:
75 can be fit into 66 0 times, resulting in a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 66 leaves us with 66.
Take the next digit (6) from the dividend and append it to 66, then repeat: 666 / 75

Advancing to step 4:
If we divide 666 by 75, we get 8 and a remainder of 66.
Record the quotient 8 as the next digit in the result. 
Result so far: 108.0
Subtract 600 from 666 to get 66.
Take the next digit (7) from the dividend and append it to 66, then repeat: 667 / 75

Step 5:
75 can be fit into 667 8 times, resulting in a remainder of 67.
Record the quotient 8 as the next digit in the result. 
Result so far: 1088.0
The remainder is 67 after subtracting 600 from 667.
Bring next digit (6) of the dividend behind the 67 and repeat the process: 676 / 75

Let's proceed to step 6:
When dividing 676 by 75, we get 9 with a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 10889.0
If we subtract 675 from 676, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
75 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 10889.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 75 fits into 100 1 times, leaving a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 10889.01
Deduct 75 from 100 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.

Moving on to step 9:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 10889.013
Subtract 225 from 250 to 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.

Step 10:
When dividing 250 by 75, we get 3 with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 10889.0133
If we take 225 away from 250, we end up 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 result is 10889.0133 with a remainder of 0.00025.