We look at the division of 814416 by 77 
Let's see how many times 77 fits into 814416.

Step 1:
77 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 77

Moving on to step 2:
81 divided by 77 is 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 77 from 81 to get 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 77

On to step 3:
44 divided by 77 is 0 with a remainder of 44.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 44, we end up with 44.
Take the next digit (4) from the dividend and append it to 44, then repeat: 444 / 77

Advancing to step 4:
444 divided by 77 is 5 with a remainder of 59.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Subtracting 385 from 444 leaves us with 59.
Fetch the next digit (1) from the dividend, attach it to 59 and continue: 591 / 77

Moving on to step 5:
77 can be fit into 591 7 times, resulting in a remainder of 52.
The next digit of our result is 7. 
Result so far: 1057.0
Deduct 539 from 591 and we're left with 52.
Take the next digit (6) from the dividend and append it to 52, then repeat: 526 / 77

Advancing to step 6:
When dividing 526 by 77, we get 6 with a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 10576.0
The remainder is 64 after subtracting 462 from 526.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Going ahead to step 7:
77 goes into 640 8 times with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 10576.8
Subtracting 616 from 640 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
77 goes into 240 3 times with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 10576.83
Subtracting 231 from 240 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
The number 77 fits into 90 1 times, leaving a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 10576.831
Subtract 77 from 90 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 10:
When dividing 130 by 77, we get 1 with a remainder of 53.
Use 1 as the next digit of our solution. 
Result so far: 10576.8311
If we take 77 away from 130, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The final result is 10576.8311 with a remainder of 0.00053.