685684 ÷ 9 
Let's see how many times 9 fits into 685684.

Advancing 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
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:
The number 9 fits into 68 7 times, leaving a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 63 from 68, we get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 9

Let's proceed to step 3:
If we divide 55 by 9, we get 6 and a remainder of 1.
Put 6 as the next digit of the answer. 
Result so far: 76.0
Deduct 54 from 55 and we're left with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 9

Advancing to step 4:
9 can be fit into 16 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 761.0
Subtracting 9 from 16 leaves us with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 9

Let's proceed to step 5:
The number 9 fits into 78 8 times, leaving a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 7618.0
Deduct 72 from 78 and we're left with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 9

Let's proceed to step 6:
9 goes into 64 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 76187.0
Deduct 63 from 64 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 7:
If we divide 10 by 9, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 76187.1
If we take 9 away from 10, we end up 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.

Let's proceed to step 8:
When dividing 10 by 9, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 76187.11
If we take 9 away from 10, we end up 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.

The quotient of the division is 76187.11, and the remainder is 0.001.