Let's divide 6801 by 9
Our goal is to divide 6801 by 9.

Going ahead to step 1:
If we divide 6 by 9, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 9

Going ahead to step 2:
9 can be fit into 68 7 times, resulting in a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 5 after subtracting 63 from 68.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 9

Let's proceed to step 3:
9 can be fit into 50 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 75.0
Subtracting 45 from 50 leaves us with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 9

Let's proceed to step 4:
When dividing 51 by 9, we get 5 with a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 755.0
If we take 45 away from 51, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 5:
9 goes into 60 6 times with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 755.6
The remainder is 6 after subtracting 54 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 6:
When dividing 60 by 9, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 755.66
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 755.66 and a remainder of 0.006.