We're dividing 4338484 by 414 
We're looking to find how many times 414 goes into 4338484.

Step 1:
414 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 414

Going ahead to step 2:
The number 414 fits into 43 0 times, leaving a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 43 leaves us with 43.
Include the next digit (3) from the dividend after 43, then repeat: 433 / 414

On to step 3:
The number 414 fits into 433 1 times, leaving a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 414 from 433 and we're left with 19.
Bring next digit (8) of the dividend behind the 19 and repeat the process: 198 / 414

Going ahead to step 4:
414 goes into 198 0 times with a remainder of 198.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 198 leaves us with 198.
Fetch the next digit (4) from the dividend, attach it to 198 and continue: 1984 / 414

Moving on to step 5:
414 can be fit into 1984 4 times, resulting in a remainder of 328.
The next digit of our result is 4. 
Result so far: 104.0
If we take 1656 away from 1984, we end up with 328.
Fetch the next digit (8) from the dividend, attach it to 328 and continue: 3288 / 414

Going ahead to step 6:
The number 414 fits into 3288 7 times, leaving a remainder of 390.
The next digit of our result is 7. 
Result so far: 1047.0
Subtract 2898 from 3288 to get 390.
Grab the next digit (4) from the dividend, add it to 390, then carry on: 3904 / 414

On to step 7:
The number 414 fits into 3904 9 times, leaving a remainder of 178.
Record the quotient 9 as the next digit in the result. 
Result so far: 10479.0
Subtract 3726 from 3904 to get 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Let's proceed to step 8:
414 can be fit into 1780 4 times, resulting in a remainder of 124.
Use 4 as the next digit of our solution. 
Result so far: 10479.4
Subtract 1656 from 1780 to get 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Moving on to step 9:
414 goes into 1240 2 times with a remainder of 412.
The number 2 becomes the next digit in our result. 
Result so far: 10479.42
If we take 828 away from 1240, we end up with 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Going ahead to step 10:
If we divide 4120 by 414, we get 9 and a remainder of 394.
The number 9 becomes the next digit in our result. 
Result so far: 10479.429
If we take 3726 away from 4120, we end up with 394.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

Going ahead to step 11:
3940 divided by 414 is 9 with a remainder of 214.
Write down 9 as next digit of the result. 
Result so far: 10479.4299
If we subtract 3726 from 3940, we get 214.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2140, and continue the process.

In conclusion, the division gives 10479.4299 with a balance of 0.00214.