515682 ÷ 77 
We're looking to find how many times 77 goes into 515682.

On to step 1:
When dividing 5 by 77, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 77

Advancing to step 2:
77 goes into 51 0 times with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Fetch the next digit (5) from the dividend, attach it to 51 and continue: 515 / 77

Advancing to step 3:
The number 77 fits into 515 6 times, leaving a remainder of 53.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 462 from 515, we get 53.
Include the next digit (6) from the dividend after 53, then repeat: 536 / 77

Going ahead to step 4:
536 divided by 77 is 6 with a remainder of 74.
Put 6 as the next digit of the answer. 
Result so far: 66.0
Subtract 462 from 536 to get 74.
Bring next digit (8) of the dividend behind the 74 and repeat the process: 748 / 77

Step 5:
77 goes into 748 9 times with a remainder of 55.
Write down 9 as next digit of the result. 
Result so far: 669.0
Subtracting 693 from 748 leaves us with 55.
Grab the next digit (2) from the dividend, add it to 55, then carry on: 552 / 77

On to step 6:
552 divided by 77 is 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 6697.0
Deduct 539 from 552 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
77 goes into 130 1 times with a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 6697.1
If we subtract 77 from 130, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 8:
The number 77 fits into 530 6 times, leaving a remainder of 68.
Use 6 as the next digit of our solution. 
Result so far: 6697.16
The remainder is 68 after subtracting 462 from 530.
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 9:
680 divided by 77 is 8 with a remainder of 64.
The next digit of our result is 8. 
Result so far: 6697.168
Deduct 616 from 680 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 10:
77 goes into 640 8 times with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 6697.1688
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.

The quotient of the division is 6697.1688, and the remainder is 0.00024.