344963 ÷ 30 
We're looking to find how many times 30 goes into 344963.

Advancing to step 1:
3 divided by 30 is 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.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 30

Advancing to step 2:
When dividing 34 by 30, we get 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 30 from 34 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 30

Going ahead to step 3:
The number 30 fits into 44 1 times, leaving a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 30 away from 44, we end up with 14.
Take the next digit (9) from the dividend and append it to 14, then repeat: 149 / 30

Moving on to step 4:
149 divided by 30 is 4 with a remainder of 29.
Record the quotient 4 as the next digit in the result. 
Result so far: 114.0
Subtracting 120 from 149 leaves us with 29.
Bring next digit (6) of the dividend behind the 29 and repeat the process: 296 / 30

Going ahead to step 5:
The number 30 fits into 296 9 times, leaving a remainder of 26.
Use 9 as the next digit of our solution. 
Result so far: 1149.0
Deduct 270 from 296 and we're left with 26.
Bring next digit (3) of the dividend behind the 26 and repeat the process: 263 / 30

On to step 6:
30 can be fit into 263 8 times, resulting in a remainder of 23.
The next digit of our result is 8. 
Result so far: 11498.0
Subtract 240 from 263 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
30 goes into 230 7 times with a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 11498.7
Subtracting 210 from 230 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.

Step 8:
The number 30 fits into 200 6 times, leaving a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 11498.76
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.

Moving on to step 9:
If we divide 200 by 30, we get 6 and a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 11498.766
If we take 180 away from 200, we end up 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.

The final result is 11498.766 with a remainder of 0.002.