515340 ÷ 77 
Our goal is to divide 515340 by 77.

Let's proceed to step 1:
77 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 77

Step 2:
If we divide 51 by 77, we get 0 and a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Bring next digit (5) of the dividend behind the 51 and repeat the process: 515 / 77

Step 3:
If we divide 515 by 77, we get 6 and a remainder of 53.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 462 from 515, we get 53.
Fetch the next digit (3) from the dividend, attach it to 53 and continue: 533 / 77

Let's proceed to step 4:
77 goes into 533 6 times with a remainder of 71.
Put 6 as the next digit of the answer. 
Result so far: 66.0
If we subtract 462 from 533, we get 71.
Fetch the next digit (4) from the dividend, attach it to 71 and continue: 714 / 77

Step 5:
714 divided by 77 is 9 with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 669.0
Subtracting 693 from 714 leaves us with 21.
Fetch the next digit (0) from the dividend, attach it to 21 and continue: 210 / 77

Step 6:
77 goes into 210 2 times with a remainder of 56.
Write down 2 as next digit of the result. 
Result so far: 6692.0
If we subtract 154 from 210, 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 7:
If we divide 560 by 77, we get 7 and a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 6692.7
Subtract 539 from 560 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 8:
If we divide 210 by 77, we get 2 and a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 6692.72
If we subtract 154 from 210, 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.

Let's proceed to step 9:
When dividing 560 by 77, we get 7 with a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 6692.727
Subtract 539 from 560 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 10:
210 divided by 77 is 2 with a remainder of 56.
The next digit of our result is 2. 
Result so far: 6692.7272
If we subtract 154 from 210, 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 11:
When dividing 560 by 77, we get 7 with a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 6692.72727
Deduct 539 from 560 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 12:
The number 77 fits into 210 2 times, leaving a remainder of 56.
Use 2 as the next digit of our solution. 
Result so far: 6692.727272
The remainder is 56 after subtracting 154 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 13:
The number 77 fits into 560 7 times, leaving a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 6692.7272727
Subtract 539 from 560 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 14:
When dividing 210 by 77, we get 2 with a remainder of 56.
Write down 2 as next digit of the result. 
Result so far: 6692.72727272
The remainder is 56 after subtracting 154 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

In conclusion, the division gives 6692.72727272 with a balance of 5.6e-08.