We look at the division of 514460 by 77 
We're looking to find how many times 77 goes into 514460.

On to step 1:
When dividing 5 by 77, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 77

Moving on to step 2:
77 can be fit into 51 0 times, resulting in a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Fetch the next digit (4) from the dividend, attach it to 51 and continue: 514 / 77

Advancing to step 3:
77 goes into 514 6 times with a remainder of 52.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 462 from 514 leaves us with 52.
Include the next digit (4) from the dividend after 52, then repeat: 524 / 77

On to step 4:
The number 77 fits into 524 6 times, leaving a remainder of 62.
Put 6 as the next digit of the answer. 
Result so far: 66.0
If we subtract 462 from 524, we get 62.
Include the next digit (6) from the dividend after 62, then repeat: 626 / 77

On to step 5:
If we divide 626 by 77, we get 8 and a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 668.0
The remainder is 10 after subtracting 616 from 626.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 77

On to step 6:
The number 77 fits into 100 1 times, leaving a remainder of 23.
The next digit of our result is 1. 
Result so far: 6681.0
Subtracting 77 from 100 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.

Step 7:
When dividing 230 by 77, we get 2 with a remainder of 76.
The next digit of our result is 2. 
Result so far: 6681.2
If we take 154 away from 230, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 8:
760 divided by 77 is 9 with a remainder of 67.
Put 9 as the next digit of the answer. 
Result so far: 6681.29
If we subtract 693 from 760, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Going ahead to step 9:
If we divide 670 by 77, we get 8 and a remainder of 54.
The number 8 becomes the next digit in our result. 
Result so far: 6681.298
If we subtract 616 from 670, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 10:
The number 77 fits into 540 7 times, leaving a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 6681.2987
The remainder is 1 after subtracting 539 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 11:
If we divide 10 by 77, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6681.2987
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
When dividing 100 by 77, we get 1 with a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 6681.298701
Deduct 77 from 100 and we're left 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.

Let's proceed to step 13:
When dividing 230 by 77, we get 2 with a remainder of 76.
Write down 2 as next digit of the result. 
Result so far: 6681.2987012
Subtract 154 from 230 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 14:
77 can be fit into 760 9 times, resulting in a remainder of 67.
The number 9 becomes the next digit in our result. 
Result so far: 6681.29870129
If we subtract 693 from 760, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

The final result is 6681.29870129 with a remainder of 6.7e-08.