100684 ÷ 30 
We're looking to find how many times 30 goes into 100684.

Advancing to step 1:
30 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 30

Step 2:
The number 30 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 30

Step 3:
30 can be fit into 100 3 times, resulting in a remainder of 10.
The next digit of our result is 3. 
Result so far: 3.0
If we subtract 90 from 100, we get 10.
Grab the next digit (6) from the dividend, add it to 10, then carry on: 106 / 30

Let's proceed to step 4:
When dividing 106 by 30, we get 3 with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 33.0
Deduct 90 from 106 and we're left with 16.
Take the next digit (8) from the dividend and append it to 16, then repeat: 168 / 30

Going ahead to step 5:
When dividing 168 by 30, we get 5 with a remainder of 18.
The next digit of our result is 5. 
Result so far: 335.0
Deduct 150 from 168 and we're left with 18.
Include the next digit (4) from the dividend after 18, then repeat: 184 / 30

Moving on to step 6:
30 goes into 184 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 3356.0
If we take 180 away from 184, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
30 goes into 40 1 times with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 3356.1
The remainder is 10 after subtracting 30 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
If we divide 100 by 30, we get 3 and a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 3356.13
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
100 divided by 30 is 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3356.133
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 3356.133, and the remainder is 0.001.