335186 ÷ 30 
We're looking to find how many times 30 goes into 335186.

Step 1:
When dividing 3 by 30, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 30

Going ahead to step 2:
30 goes into 33 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 30 from 33 to get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 30

Going ahead to step 3:
35 divided by 30 is 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Subtracting 30 from 35 leaves us with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 30

Advancing to step 4:
30 can be fit into 51 1 times, resulting in a remainder of 21.
The next digit of our result is 1. 
Result so far: 111.0
If we take 30 away from 51, we end up with 21.
Bring next digit (8) of the dividend behind the 21 and repeat the process: 218 / 30

On to step 5:
30 goes into 218 7 times with a remainder of 8.
The next digit of our result is 7. 
Result so far: 1117.0
Deduct 210 from 218 and we're left with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 30

Advancing to step 6:
If we divide 86 by 30, we get 2 and a remainder of 26.
The next digit of our result is 2. 
Result so far: 11172.0
If we subtract 60 from 86, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
30 can be fit into 260 8 times, resulting in a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 11172.8
Subtracting 240 from 260 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
When dividing 200 by 30, we get 6 with a remainder of 20.
Put 6 as the next digit of the answer. 
Result so far: 11172.86
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
When dividing 200 by 30, we get 6 with a remainder of 20.
Use 6 as the next digit of our solution. 
Result so far: 11172.866
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 11172.866 and a remainder of 0.002.