We look at the division of 545419 by 78 
We're looking to find how many times 78 goes into 545419.

Advancing to step 1:
78 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 78

On to step 2:
The number 78 fits into 54 0 times, leaving a remainder of 54.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 54, we end up with 54.
Grab the next digit (5) from the dividend, add it to 54, then carry on: 545 / 78

Going ahead to step 3:
When dividing 545 by 78, we get 6 with a remainder of 77.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtracting 468 from 545 leaves us with 77.
Take the next digit (4) from the dividend and append it to 77, then repeat: 774 / 78

Step 4:
78 can be fit into 774 9 times, resulting in a remainder of 72.
The number 9 becomes the next digit in our result. 
Result so far: 69.0
Deduct 702 from 774 and we're left with 72.
Fetch the next digit (1) from the dividend, attach it to 72 and continue: 721 / 78

Going ahead to step 5:
721 divided by 78 is 9 with a remainder of 19.
Use 9 as the next digit of our solution. 
Result so far: 699.0
The remainder is 19 after subtracting 702 from 721.
Take the next digit (9) from the dividend and append it to 19, then repeat: 199 / 78

Going ahead to step 6:
When dividing 199 by 78, we get 2 with a remainder of 43.
The next digit of our result is 2. 
Result so far: 6992.0
If we take 156 away from 199, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 7:
78 can be fit into 430 5 times, resulting in a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 6992.5
If we subtract 390 from 430, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
If we divide 400 by 78, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 6992.55
Subtracting 390 from 400 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 6992.55 with a remaining 0.01.