We're dividing 684888 by 35 
We're looking to find how many times 35 goes into 684888.

Step 1:
The number 35 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 35

Advancing to step 2:
68 divided by 35 is 1 with a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 33 after subtracting 35 from 68.
Include the next digit (4) from the dividend after 33, then repeat: 334 / 35

On to step 3:
The number 35 fits into 334 9 times, leaving a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
If we take 315 away from 334, we end up with 19.
Take the next digit (8) from the dividend and append it to 19, then repeat: 198 / 35

Moving on to step 4:
The number 35 fits into 198 5 times, leaving a remainder of 23.
Use 5 as the next digit of our solution. 
Result so far: 195.0
Subtract 175 from 198 to get 23.
Bring next digit (8) of the dividend behind the 23 and repeat the process: 238 / 35

Advancing to step 5:
238 divided by 35 is 6 with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 1956.0
Deduct 210 from 238 and we're left with 28.
Take the next digit (8) from the dividend and append it to 28, then repeat: 288 / 35

Advancing to step 6:
35 can be fit into 288 8 times, resulting in a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 19568.0
If we subtract 280 from 288, 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.

Step 7:
When dividing 80 by 35, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 19568.2
Subtract 70 from 80 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
35 goes into 100 2 times with a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 19568.22
Subtract 70 from 100 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 19568.22 and a remainder of 0.03.