We divide 419591 by 78
We want to divide 419591 by 78.

Advancing to step 1:
78 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 78

Let's proceed to step 2:
If we divide 41 by 78, we get 0 and 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.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 78

Advancing to step 3:
If we divide 419 by 78, we get 5 and a remainder of 29.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 390 from 419, we get 29.
Grab the next digit (5) from the dividend, add it to 29, then carry on: 295 / 78

Let's proceed to step 4:
If we divide 295 by 78, we get 3 and a remainder of 61.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
The remainder is 61 after subtracting 234 from 295.
Bring next digit (9) of the dividend behind the 61 and repeat the process: 619 / 78

On to step 5:
If we divide 619 by 78, we get 7 and a remainder of 73.
Use 7 as the next digit of our solution. 
Result so far: 537.0
Subtract 546 from 619 to get 73.
Grab the next digit (1) from the dividend, add it to 73, then carry on: 731 / 78

Moving on to step 6:
When dividing 731 by 78, we get 9 with a remainder of 29.
Use 9 as the next digit of our solution. 
Result so far: 5379.0
Subtract 702 from 731 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 7:
78 goes into 290 3 times with a remainder of 56.
The next digit of our result is 3. 
Result so far: 5379.3
If we subtract 234 from 290, we get 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 8:
78 goes into 560 7 times with a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 5379.37
If we subtract 546 from 560, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 9:
When dividing 140 by 78, we get 1 with a remainder of 62.
The next digit of our result is 1. 
Result so far: 5379.371
If we subtract 78 from 140, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 10:
620 divided by 78 is 7 with a remainder of 74.
Use 7 as the next digit of our solution. 
Result so far: 5379.3717
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 11:
When dividing 740 by 78, we get 9 with a remainder of 38.
Use 9 as the next digit of our solution. 
Result so far: 5379.37179
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.

Going ahead to step 12:
When dividing 380 by 78, we get 4 with a remainder of 68.
Record the quotient 4 as the next digit in the result. 
Result so far: 5379.371794
If we subtract 312 from 380, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 13:
78 can be fit into 680 8 times, resulting in a remainder of 56.
The next digit of our result is 8. 
Result so far: 5379.3717948
If we subtract 624 from 680, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 14:
If we divide 560 by 78, we get 7 and a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 5379.37179487
If we subtract 546 from 560, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 5379.37179487 with a remainder of 1.4e-08.