681014 divided by 75 
Our goal is to divide 681014 by 75.

Going ahead to step 1:
If we divide 6 by 75, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
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

Moving on to step 2:
When dividing 68 by 75, we get 0 with a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 68, we end up with 68.
Include the next digit (1) from the dividend after 68, then repeat: 681 / 75

Going ahead to step 3:
75 can be fit into 681 9 times, resulting in a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 675 from 681 and we're left with 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 75

On to step 4:
75 goes into 60 0 times with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 90.0
Subtracting 0 from 60 leaves us with 60.
Fetch the next digit (1) from the dividend, attach it to 60 and continue: 601 / 75

Let's proceed to step 5:
75 can be fit into 601 8 times, resulting in a remainder of 1.
The next digit of our result is 8. 
Result so far: 908.0
Deduct 600 from 601 and we're left with 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 75

Step 6:
When dividing 14 by 75, we get 0 with a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 9080.0
The remainder is 14 after subtracting 0 from 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
75 can be fit into 140 1 times, resulting in a remainder of 65.
Put 1 as the next digit of the answer. 
Result so far: 9080.1
The remainder is 65 after subtracting 75 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 8:
75 goes into 650 8 times with a remainder of 50.
Use 8 as the next digit of our solution. 
Result so far: 9080.18
The remainder is 50 after subtracting 600 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
The number 75 fits into 500 6 times, leaving a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 9080.186
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 9080.1866
The remainder is 50 after subtracting 450 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 9080.1866 with a remainder of 0.0005.