We're dividing 681744 by 9 
Our goal is to divide 681744 by 9.

Let's proceed to step 1:
The number 9 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 9

Let's proceed to step 2:
9 can be fit into 68 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 63 from 68 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 9

Going ahead to step 3:
If we divide 51 by 9, we get 5 and a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
The remainder is 6 after subtracting 45 from 51.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 9

Going ahead to step 4:
67 divided by 9 is 7 with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 757.0
The remainder is 4 after subtracting 63 from 67.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 9

Moving on to step 5:
9 can be fit into 44 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 7574.0
The remainder is 8 after subtracting 36 from 44.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 9

Step 6:
84 divided by 9 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 75749.0
Subtract 81 from 84 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
The number 9 fits into 30 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 75749.3
If we take 27 away from 30, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
9 can be fit into 30 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 75749.33
The remainder is 3 after subtracting 27 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Our division results in 75749.33 with a remaining 0.003.