6414 ÷ 54 
We want to figure out the number of times 6414 can be divided by 54.

Step 1:
54 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 54

Moving on to step 2:
64 divided by 54 is 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 54 from 64 and we're left with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 54

Let's proceed to step 3:
The number 54 fits into 101 1 times, leaving a remainder of 47.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we subtract 54 from 101, we get 47.
Append the next digit (4) from the dividend to 47 and continue with: 474 / 54

Let's proceed to step 4:
54 can be fit into 474 8 times, resulting in a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 118.0
Subtracting 432 from 474 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 5:
If we divide 420 by 54, we get 7 and a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 118.7
Subtracting 378 from 420 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 6:
If we divide 420 by 54, we get 7 and a remainder of 42.
Use 7 as the next digit of our solution. 
Result so far: 118.77
If we subtract 378 from 420, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

In conclusion, the division gives 118.77 with a balance of 0.042.