We look at the division of 681122 by 75 
We want to divide 681122 by 75.

Let's proceed to step 1:
When dividing 6 by 75, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 75

Moving on to step 2:
75 goes into 68 0 times with a remainder of 68.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 68 after subtracting 0 from 68.
Include the next digit (1) from the dividend after 68, then repeat: 681 / 75

Advancing to step 3:
If we divide 681 by 75, we get 9 and a remainder of 6.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
The remainder is 6 after subtracting 675 from 681.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 75

Step 4:
If we divide 61 by 75, we get 0 and a remainder of 61.
Write down 0 as next digit of the result. 
Result so far: 90.0
If we subtract 0 from 61, we get 61.
Take the next digit (2) from the dividend and append it to 61, then repeat: 612 / 75

On to step 5:
75 can be fit into 612 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 908.0
The remainder is 12 after subtracting 600 from 612.
Grab the next digit (2) from the dividend, add it to 12, then carry on: 122 / 75

Moving on to step 6:
If we divide 122 by 75, we get 1 and a remainder of 47.
The next digit of our result is 1. 
Result so far: 9081.0
Subtract 75 from 122 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 7:
75 can be fit into 470 6 times, resulting in a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 9081.6
Subtracting 450 from 470 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
75 goes into 200 2 times with a remainder of 50.
The number 2 becomes the next digit in our result. 
Result so far: 9081.62
If we take 150 away from 200, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 9:
When dividing 500 by 75, we get 6 with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 9081.626
Subtract 450 from 500 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 10:
When dividing 500 by 75, we get 6 with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 9081.6266
If we subtract 450 from 500, we get 50.
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 9081.6266 with a remainder of 0.0005.