Let's divide 680651 by 9
We're looking to find how many times 9 goes into 680651.

Going ahead to step 1:
The number 9 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 9

Let's proceed to step 2:
9 can be fit into 68 7 times, resulting in a remainder of 5.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 63 from 68, we get 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 9

Advancing to step 3:
9 can be fit into 50 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 75.0
Subtracting 45 from 50 leaves us with 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 9

Going ahead to step 4:
If we divide 56 by 9, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 756.0
Deduct 54 from 56 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 9

Advancing to step 5:
If we divide 25 by 9, we get 2 and a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 7562.0
Deduct 18 from 25 and we're left with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 9

Moving on to step 6:
71 divided by 9 is 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 75627.0
Subtracting 63 from 71 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 7:
9 can be fit into 80 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 75627.8
If we subtract 72 from 80, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
9 can be fit into 80 8 times, resulting in a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 75627.88
If we subtract 72 from 80, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 75627.88 with a remainder of 0.008.