We look at the division of 517719 by 79 
Let's see how many times 79 fits into 517719.

Advancing to step 1:
The number 79 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 79

Step 2:
79 can be fit into 51 0 times, resulting in a remainder of 51.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Fetch the next digit (7) from the dividend, attach it to 51 and continue: 517 / 79

Let's proceed to step 3:
The number 79 fits into 517 6 times, leaving a remainder of 43.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 474 from 517 to get 43.
Append the next digit (7) from the dividend to 43 and continue with: 437 / 79

Step 4:
If we divide 437 by 79, we get 5 and a remainder of 42.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
Subtract 395 from 437 to get 42.
Append the next digit (1) from the dividend to 42 and continue with: 421 / 79

Let's proceed to step 5:
79 goes into 421 5 times with a remainder of 26.
Put 5 as the next digit of the answer. 
Result so far: 655.0
Subtracting 395 from 421 leaves us with 26.
Take the next digit (9) from the dividend and append it to 26, then repeat: 269 / 79

Let's proceed to step 6:
If we divide 269 by 79, we get 3 and a remainder of 32.
The next digit of our result is 3. 
Result so far: 6553.0
The remainder is 32 after subtracting 237 from 269.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
79 can be fit into 320 4 times, resulting in a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 6553.4
Subtract 316 from 320 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
If we divide 40 by 79, we get 0 and a remainder of 40.
The next digit of our result is 0. 
Result so far: 6553.4
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
The number 79 fits into 400 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 6553.405
If we subtract 395 from 400, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
When dividing 50 by 79, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 6553.405
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 11:
500 divided by 79 is 6 with a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 6553.40506
Subtracting 474 from 500 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 12:
When dividing 260 by 79, we get 3 with a remainder of 23.
The next digit of our result is 3. 
Result so far: 6553.405063
If we take 237 away from 260, we end up 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.

Advancing to step 13:
The number 79 fits into 230 2 times, leaving a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 6553.4050632
If we subtract 158 from 230, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 14:
79 can be fit into 720 9 times, resulting in a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 6553.40506329
Deduct 711 from 720 and we're left 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.

Our division results in 6553.40506329 with a remaining 9e-09.