We divide 300414 by 3
Our goal is to divide 300414 by 3.

Step 1:
3 goes into 3 1 times with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we take 3 away from 3, we end up with 0.
Grab the next digit (0) from the dividend, add it to 0, then carry on: 0 / 3

Moving on to step 2:
3 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 0, we get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 3

Advancing to step 3:
When dividing 0 by 3, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 100.0
Subtract 0 from 0 to get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 3

Step 4:
The number 3 fits into 4 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1001.0
Subtract 3 from 4 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 3

Advancing to step 5:
If we divide 11 by 3, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 10013.0
If we take 9 away from 11, we end up with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 3

On to step 6:
3 goes into 24 8 times with a remainder of 0.
The next digit of our result is 8. 
Result so far: 100138.0
Subtract 24 from 24 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 7:
3 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 100138.0
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
3 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 100138.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 100138.0, and the remainder is 0.0.