We're dividing 684323 by 90 
We want to divide 684323 by 90.

Moving on to step 1:
The number 90 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
If we subtract 0 from 6, we get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 90

On to step 2:
90 goes into 68 0 times with a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 68, we get 68.
Append the next digit (4) from the dividend to 68 and continue with: 684 / 90

On to step 3:
90 goes into 684 7 times with a remainder of 54.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 630 from 684 and we're left with 54.
Grab the next digit (3) from the dividend, add it to 54, then carry on: 543 / 90

Let's proceed to step 4:
When dividing 543 by 90, we get 6 with a remainder of 3.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
If we subtract 540 from 543, we get 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 90

Let's proceed to step 5:
The number 90 fits into 32 0 times, leaving a remainder of 32.
Use 0 as the next digit of our solution. 
Result so far: 760.0
If we take 0 away from 32, we end up with 32.
Fetch the next digit (3) from the dividend, attach it to 32 and continue: 323 / 90

Going ahead to step 6:
90 goes into 323 3 times with a remainder of 53.
Record the quotient 3 as the next digit in the result. 
Result so far: 7603.0
Deduct 270 from 323 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 7:
90 can be fit into 530 5 times, resulting in a remainder of 80.
Use 5 as the next digit of our solution. 
Result so far: 7603.5
Subtracting 450 from 530 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 8:
When dividing 800 by 90, we get 8 with a remainder of 80.
Put 8 as the next digit of the answer. 
Result so far: 7603.58
Subtract 720 from 800 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 9:
When dividing 800 by 90, we get 8 with a remainder of 80.
The number 8 becomes the next digit in our result. 
Result so far: 7603.588
The remainder is 80 after subtracting 720 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

After the division, we end up with 7603.588 and a remainder of 0.008.