We look at the division of 334621 by 30 
We want to figure out the number of times 334621 can be divided by 30.

On to step 1:
When dividing 3 by 30, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 30

Step 2:
If we divide 33 by 30, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 30 from 33 to get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 30

On to step 3:
When dividing 34 by 30, we get 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 30 from 34 and we're left with 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 30

Moving on to step 4:
46 divided by 30 is 1 with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 111.0
Subtracting 30 from 46 leaves us with 16.
Grab the next digit (2) from the dividend, add it to 16, then carry on: 162 / 30

Advancing to step 5:
If we divide 162 by 30, we get 5 and a remainder of 12.
The next digit of our result is 5. 
Result so far: 1115.0
Subtract 150 from 162 to get 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 30

Step 6:
The number 30 fits into 121 4 times, leaving a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 11154.0
Deduct 120 from 121 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.

Step 7:
30 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 11154.0
Deduct 0 from 10 and we're left 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.

On to step 8:
30 can be fit into 100 3 times, resulting in a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 11154.03
Subtract 90 from 100 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.

Going ahead to step 9:
30 can be fit into 100 3 times, resulting in a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 11154.033
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 11154.033 with a remainder of 0.001.