419273 ÷ 78 
Our goal is to divide 419273 by 78.

Let's proceed to step 1:
If we divide 4 by 78, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 78

Moving on to step 2:
78 can be fit into 41 0 times, resulting in a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Append the next digit (9) from the dividend to 41 and continue with: 419 / 78

Advancing to step 3:
The number 78 fits into 419 5 times, leaving a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 390 from 419 and we're left with 29.
Take the next digit (2) from the dividend and append it to 29, then repeat: 292 / 78

Advancing to step 4:
78 can be fit into 292 3 times, resulting in a remainder of 58.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
The remainder is 58 after subtracting 234 from 292.
Include the next digit (7) from the dividend after 58, then repeat: 587 / 78

Step 5:
The number 78 fits into 587 7 times, leaving a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 537.0
Subtracting 546 from 587 leaves us with 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 78

Moving on to step 6:
The number 78 fits into 413 5 times, leaving a remainder of 23.
Write down 5 as next digit of the result. 
Result so far: 5375.0
Subtracting 390 from 413 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
When dividing 230 by 78, we get 2 with a remainder of 74.
The next digit of our result is 2. 
Result so far: 5375.2
If we take 156 away from 230, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 8:
740 divided by 78 is 9 with a remainder of 38.
Record the quotient 9 as the next digit in the result. 
Result so far: 5375.29
If we subtract 702 from 740, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 9:
The number 78 fits into 380 4 times, leaving a remainder of 68.
Write down 4 as next digit of the result. 
Result so far: 5375.294
The remainder is 68 after subtracting 312 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 10:
78 goes into 680 8 times with a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 5375.2948
Deduct 624 from 680 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 11:
560 divided by 78 is 7 with a remainder of 14.
The number 7 becomes the next digit in our result. 
Result so far: 5375.29487
If we take 546 away from 560, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 12:
140 divided by 78 is 1 with a remainder of 62.
Record the quotient 1 as the next digit in the result. 
Result so far: 5375.294871
Deduct 78 from 140 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 13:
If we divide 620 by 78, we get 7 and a remainder of 74.
Use 7 as the next digit of our solution. 
Result so far: 5375.2948717
If we take 546 away from 620, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 14:
78 can be fit into 740 9 times, resulting in a remainder of 38.
Record the quotient 9 as the next digit in the result. 
Result so far: 5375.29487179
The remainder is 38 after subtracting 702 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 5375.29487179 and a remainder of 3.8e-08.