684982 ÷ 9 
We want to figure out the number of times 684982 can be divided by 9.

Advancing to step 1:
The number 9 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 9

Moving on to step 2:
9 can be fit into 68 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 63 from 68 and we're left with 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 9

Let's proceed to step 3:
When dividing 54 by 9, we get 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 76.0
If we subtract 54 from 54, we get 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 9

Going ahead to step 4:
When dividing 9 by 9, we get 1 with a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 761.0
If we subtract 9 from 9, we get 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 9

Going ahead to step 5:
8 divided by 9 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 7610.0
The remainder is 8 after subtracting 0 from 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 9

On to step 6:
The number 9 fits into 82 9 times, leaving a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 76109.0
Subtract 81 from 82 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
9 can be fit into 10 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 76109.1
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
The number 9 fits into 10 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 76109.11
If we subtract 9 from 10, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

After the division, we end up with 76109.11 and a remainder of 0.001.