We look at the division of 414084 by 77 
We want to divide 414084 by 77.

On to step 1:
4 divided by 77 is 0 with 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.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 77

Step 2:
77 can be fit into 41 0 times, resulting in a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Include the next digit (4) from the dividend after 41, then repeat: 414 / 77

Let's proceed to step 3:
77 goes into 414 5 times with a remainder of 29.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 385 from 414 to get 29.
Take the next digit (0) from the dividend and append it to 29, then repeat: 290 / 77

Moving on to step 4:
77 can be fit into 290 3 times, resulting in a remainder of 59.
Put 3 as the next digit of the answer. 
Result so far: 53.0
The remainder is 59 after subtracting 231 from 290.
Grab the next digit (8) from the dividend, add it to 59, then carry on: 598 / 77

Moving on to step 5:
If we divide 598 by 77, we get 7 and a remainder of 59.
The next digit of our result is 7. 
Result so far: 537.0
Subtracting 539 from 598 leaves us with 59.
Fetch the next digit (4) from the dividend, attach it to 59 and continue: 594 / 77

Going ahead to step 6:
The number 77 fits into 594 7 times, leaving a remainder of 55.
Write down 7 as next digit of the result. 
Result so far: 5377.0
Subtracting 539 from 594 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 7:
The number 77 fits into 550 7 times, leaving a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 5377.7
If we subtract 539 from 550, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 8:
77 goes into 110 1 times with a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 5377.71
Deduct 77 from 110 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 9:
When dividing 330 by 77, we get 4 with a remainder of 22.
The number 4 becomes the next digit in our result. 
Result so far: 5377.714
Subtracting 308 from 330 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 10:
When dividing 220 by 77, we get 2 with a remainder of 66.
The next digit of our result is 2. 
Result so far: 5377.7142
The remainder is 66 after subtracting 154 from 220.
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 11:
77 goes into 660 8 times with a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 5377.71428
Subtracting 616 from 660 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 12:
The number 77 fits into 440 5 times, leaving a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 5377.714285
Deduct 385 from 440 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 13:
If we divide 550 by 77, we get 7 and a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 5377.7142857
Subtracting 539 from 550 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 14:
If we divide 110 by 77, we get 1 and a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 5377.71428571
Subtract 77 from 110 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final result is 5377.71428571 with a remainder of 3.3e-08.