515313 ÷ 79 
Our goal is to divide 515313 by 79.

On to step 1:
79 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 79

Moving on to step 2:
51 divided by 79 is 0 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.
Take the next digit (5) from the dividend and append it to 51, then repeat: 515 / 79

Let's proceed to step 3:
When dividing 515 by 79, we get 6 with a remainder of 41.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 474 from 515 to get 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 79

Step 4:
79 can be fit into 413 5 times, resulting in a remainder of 18.
Use 5 as the next digit of our solution. 
Result so far: 65.0
If we take 395 away from 413, we end up with 18.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 79

On to step 5:
When dividing 181 by 79, we get 2 with a remainder of 23.
Write down 2 as next digit of the result. 
Result so far: 652.0
If we subtract 158 from 181, we get 23.
Append the next digit (3) from the dividend to 23 and continue with: 233 / 79

Going ahead to step 6:
79 can be fit into 233 2 times, resulting in a remainder of 75.
Record the quotient 2 as the next digit in the result. 
Result so far: 6522.0
If we subtract 158 from 233, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 7:
The number 79 fits into 750 9 times, leaving a remainder of 39.
Record the quotient 9 as the next digit in the result. 
Result so far: 6522.9
Deduct 711 from 750 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 8:
The number 79 fits into 390 4 times, leaving a remainder of 74.
Write down 4 as next digit of the result. 
Result so far: 6522.94
Subtract 316 from 390 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 9:
79 can be fit into 740 9 times, resulting in a remainder of 29.
Record the quotient 9 as the next digit in the result. 
Result so far: 6522.949
The remainder is 29 after subtracting 711 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 10:
79 goes into 290 3 times with a remainder of 53.
Record the quotient 3 as the next digit in the result. 
Result so far: 6522.9493
Subtracting 237 from 290 leaves us 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.

Step 11:
If we divide 530 by 79, we get 6 and a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 6522.94936
If we take 474 away from 530, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 12:
The number 79 fits into 560 7 times, leaving a remainder of 7.
The next digit of our result is 7. 
Result so far: 6522.949367
Deduct 553 from 560 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 13:
The number 79 fits into 70 0 times, leaving a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 6522.949367
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 14:
700 divided by 79 is 8 with a remainder of 68.
Write down 8 as next digit of the result. 
Result so far: 6522.94936708
Subtracting 632 from 700 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The quotient of the division is 6522.94936708, and the remainder is 6.8e-08.