We're dividing 305353 by 30 
We're looking to find how many times 30 goes into 305353.

Moving on to step 1:
The number 30 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 30

Moving on to step 2:
When dividing 30 by 30, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 30 from 30 leaves us with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 30

Step 3:
30 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 10.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 30

On to step 4:
The number 30 fits into 53 1 times, leaving a remainder of 23.
The next digit of our result is 1. 
Result so far: 101.0
Subtracting 30 from 53 leaves us with 23.
Grab the next digit (5) from the dividend, add it to 23, then carry on: 235 / 30

Going ahead to step 5:
The number 30 fits into 235 7 times, leaving a remainder of 25.
Record the quotient 7 as the next digit in the result. 
Result so far: 1017.0
Deduct 210 from 235 and we're left with 25.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 30

Step 6:
If we divide 253 by 30, we get 8 and a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 10178.0
The remainder is 13 after subtracting 240 from 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
30 goes into 130 4 times with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 10178.4
If we take 120 away from 130, 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.

Moving on to step 8:
30 goes into 100 3 times with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 10178.43
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.

Moving on to step 9:
30 goes into 100 3 times with a remainder of 10.
Write down 3 as next digit of the result. 
Result so far: 10178.433
Deduct 90 from 100 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.

The quotient of the division is 10178.433, and the remainder is 0.001.