419910 ÷ 78 
We want to divide 419910 by 78.

Step 1:
The number 78 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 78

Moving on to step 2:
When dividing 41 by 78, we get 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Append the next digit (9) from the dividend to 41 and continue with: 419 / 78

Going ahead to step 3:
419 divided by 78 is 5 with a remainder of 29.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 390 from 419 to get 29.
Take the next digit (9) from the dividend and append it to 29, then repeat: 299 / 78

Moving on to step 4:
299 divided by 78 is 3 with a remainder of 65.
Put 3 as the next digit of the answer. 
Result so far: 53.0
Deduct 234 from 299 and we're left with 65.
Include the next digit (1) from the dividend after 65, then repeat: 651 / 78

Step 5:
651 divided by 78 is 8 with a remainder of 27.
Put 8 as the next digit of the answer. 
Result so far: 538.0
Deduct 624 from 651 and we're left with 27.
Bring next digit (0) of the dividend behind the 27 and repeat the process: 270 / 78

Let's proceed to step 6:
78 goes into 270 3 times with a remainder of 36.
The number 3 becomes the next digit in our result. 
Result so far: 5383.0
Subtracting 234 from 270 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.

Let's proceed to step 7:
If we divide 360 by 78, we get 4 and a remainder of 48.
The next digit of our result is 4. 
Result so far: 5383.4
Subtract 312 from 360 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 8:
480 divided by 78 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 5383.46
Subtract 468 from 480 to 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.

Moving on to step 9:
If we divide 120 by 78, we get 1 and a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 5383.461
If we take 78 away from 120, we end up 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.

On to step 10:
The number 78 fits into 420 5 times, leaving a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 5383.4615
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.

Going ahead to step 11:
300 divided by 78 is 3 with a remainder of 66.
Use 3 as the next digit of our solution. 
Result so far: 5383.46153
Subtract 234 from 300 to 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.

Step 12:
If we divide 660 by 78, we get 8 and a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 5383.461538
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.

Advancing to step 13:
When dividing 360 by 78, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 5383.4615384
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.

On to step 14:
When dividing 480 by 78, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 5383.46153846
Subtracting 468 from 480 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 5383.46153846 and a remainder of 1.2e-08.