We're dividing 14378916 by 408 
Our goal is to divide 14378916 by 408.

Step 1:
The number 408 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 408

Let's proceed to step 2:
If we divide 14 by 408, we get 0 and a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 14 after subtracting 0 from 14.
Append the next digit (3) from the dividend to 14 and continue with: 143 / 408

Step 3:
408 goes into 143 0 times with a remainder of 143.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 143 after subtracting 0 from 143.
Grab the next digit (7) from the dividend, add it to 143, then carry on: 1437 / 408

Moving on to step 4:
When dividing 1437 by 408, we get 3 with a remainder of 213.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 1224 from 1437 leaves us with 213.
Include the next digit (8) from the dividend after 213, then repeat: 2138 / 408

Step 5:
When dividing 2138 by 408, we get 5 with a remainder of 98.
Write down 5 as next digit of the result. 
Result so far: 35.0
If we take 2040 away from 2138, we end up with 98.
Take the next digit (9) from the dividend and append it to 98, then repeat: 989 / 408

Advancing to step 6:
If we divide 989 by 408, we get 2 and a remainder of 173.
Put 2 as the next digit of the answer. 
Result so far: 352.0
Deduct 816 from 989 and we're left with 173.
Grab the next digit (1) from the dividend, add it to 173, then carry on: 1731 / 408

Step 7:
When dividing 1731 by 408, we get 4 with a remainder of 99.
The number 4 becomes the next digit in our result. 
Result so far: 3524.0
Deduct 1632 from 1731 and we're left with 99.
Bring next digit (6) of the dividend behind the 99 and repeat the process: 996 / 408

Let's proceed to step 8:
996 divided by 408 is 2 with a remainder of 180.
Record the quotient 2 as the next digit in the result. 
Result so far: 35242.0
If we take 816 away from 996, we end up with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Moving on to step 9:
If we divide 1800 by 408, we get 4 and a remainder of 168.
Use 4 as the next digit of our solution. 
Result so far: 35242.4
Deduct 1632 from 1800 and we're left with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Moving on to step 10:
408 goes into 1680 4 times with a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 35242.44
Subtracting 1632 from 1680 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

In conclusion, the division gives 35242.44 with a balance of 0.048.