4340428 ÷ 300 
Our goal is to divide 4340428 by 300.

On to step 1:
300 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 300

Going ahead to step 2:
If we divide 43 by 300, we get 0 and a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Append the next digit (4) from the dividend to 43 and continue with: 434 / 300

Going ahead to step 3:
When dividing 434 by 300, we get 1 with a remainder of 134.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 300 away from 434, we end up with 134.
Grab the next digit (0) from the dividend, add it to 134, then carry on: 1340 / 300

Step 4:
When dividing 1340 by 300, we get 4 with a remainder of 140.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
If we subtract 1200 from 1340, we get 140.
Fetch the next digit (4) from the dividend, attach it to 140 and continue: 1404 / 300

Let's proceed to step 5:
The number 300 fits into 1404 4 times, leaving a remainder of 204.
Record the quotient 4 as the next digit in the result. 
Result so far: 144.0
Subtract 1200 from 1404 to get 204.
Take the next digit (2) from the dividend and append it to 204, then repeat: 2042 / 300

On to step 6:
2042 divided by 300 is 6 with a remainder of 242.
Use 6 as the next digit of our solution. 
Result so far: 1446.0
Deduct 1800 from 2042 and we're left with 242.
Bring next digit (8) of the dividend behind the 242 and repeat the process: 2428 / 300

Moving on to step 7:
If we divide 2428 by 300, we get 8 and a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 14468.0
If we subtract 2400 from 2428, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
300 can be fit into 280 0 times, resulting in a remainder of 280.
Write down 0 as next digit of the result. 
Result so far: 14468.0
Deduct 0 from 280 and we're left with 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

Advancing to step 9:
300 can be fit into 2800 9 times, resulting in a remainder of 100.
The next digit of our result is 9. 
Result so far: 14468.09
If we take 2700 away from 2800, we end up with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Advancing to step 10:
When dividing 1000 by 300, we get 3 with a remainder of 100.
Use 3 as the next digit of our solution. 
Result so far: 14468.093
The remainder is 100 after subtracting 900 from 1000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Step 11:
300 goes into 1000 3 times with a remainder of 100.
Write down 3 as next digit of the result. 
Result so far: 14468.0933
Subtract 900 from 1000 to get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

The quotient of the division is 14468.0933, and the remainder is 0.001.