We divide 305945 by 30
Our goal is to divide 305945 by 30.

Advancing to step 1:
The number 30 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (0) from the dividend to 3 and continue with: 30 / 30

Step 2:
The number 30 fits into 30 1 times, leaving a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 30 from 30, we get 0.
Append the next digit (5) from the dividend to 0 and continue with: 5 / 30

Let's proceed to step 3:
5 divided by 30 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 30

Going ahead to step 4:
The number 30 fits into 59 1 times, leaving a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 101.0
Subtract 30 from 59 to get 29.
Grab the next digit (4) from the dividend, add it to 29, then carry on: 294 / 30

Moving on to step 5:
30 can be fit into 294 9 times, resulting in a remainder of 24.
The next digit of our result is 9. 
Result so far: 1019.0
If we subtract 270 from 294, we get 24.
Grab the next digit (5) from the dividend, add it to 24, then carry on: 245 / 30

On to step 6:
30 goes into 245 8 times with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 10198.0
Subtracting 240 from 245 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
30 goes into 50 1 times with a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 10198.1
The remainder is 20 after subtracting 30 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 30, we get 6 and a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 10198.16
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.

Moving on to step 9:
30 can be fit into 200 6 times, resulting in a remainder of 20.
The number 6 becomes the next digit in our result. 
Result so far: 10198.166
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 10198.166, and the remainder is 0.002.