We look at the division of 394200 by 78 
We're looking to find how many times 78 goes into 394200.

Let's proceed to step 1:
When dividing 3 by 78, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 78

Going ahead to step 2:
78 goes into 39 0 times with a remainder of 39.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 39 after subtracting 0 from 39.
Append the next digit (4) from the dividend to 39 and continue with: 394 / 78

Let's proceed to step 3:
The number 78 fits into 394 5 times, leaving a remainder of 4.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 390 from 394 to get 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 78

Going ahead to step 4:
The number 78 fits into 42 0 times, leaving a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 50.0
Deduct 0 from 42 and we're left with 42.
Grab the next digit (0) from the dividend, add it to 42, then carry on: 420 / 78

Step 5:
If we divide 420 by 78, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 505.0
Subtracting 390 from 420 leaves us with 30.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 78

Going ahead to step 6:
When dividing 300 by 78, we get 3 with a remainder of 66.
Write down 3 as next digit of the result. 
Result so far: 5053.0
If we subtract 234 from 300, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 7:
660 divided by 78 is 8 with a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 5053.8
The remainder is 36 after subtracting 624 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 8:
The number 78 fits into 360 4 times, leaving a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 5053.84
Deduct 312 from 360 and we're left 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.

Let's proceed to step 9:
78 can be fit into 480 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 5053.846
If we subtract 468 from 480, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
When dividing 120 by 78, we get 1 with a remainder of 42.
The next digit of our result is 1. 
Result so far: 5053.8461
The remainder is 42 after subtracting 78 from 120.
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 11:
When dividing 420 by 78, we get 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 5053.84615
Deduct 390 from 420 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
If we divide 300 by 78, we get 3 and a remainder of 66.
The number 3 becomes the next digit in our result. 
Result so far: 5053.846153
Subtracting 234 from 300 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 13:
78 can be fit into 660 8 times, resulting in a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 5053.8461538
Subtracting 624 from 660 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 14:
The number 78 fits into 360 4 times, leaving a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 5053.84615384
If we take 312 away from 360, we end up 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.

The final result is 5053.84615384 with a remainder of 4.8e-08.