We look at the division of 17519 by 79 
We want to divide 17519 by 79.

Moving on to step 1:
If we divide 1 by 79, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 79

Moving on to step 2:
79 can be fit into 17 0 times, resulting in a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Fetch the next digit (5) from the dividend, attach it to 17 and continue: 175 / 79

On to step 3:
175 divided by 79 is 2 with a remainder of 17.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 158 away from 175, we end up with 17.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 79

On to step 4:
When dividing 171 by 79, we get 2 with a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 22.0
Subtract 158 from 171 to get 13.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 79

Let's proceed to step 5:
If we divide 139 by 79, we get 1 and a remainder of 60.
The number 1 becomes the next digit in our result. 
Result so far: 221.0
The remainder is 60 after subtracting 79 from 139.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 6:
79 goes into 600 7 times with a remainder of 47.
Write down 7 as next digit of the result. 
Result so far: 221.7
If we take 553 away from 600, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 7:
If we divide 470 by 79, we get 5 and a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 221.75
If we subtract 395 from 470, 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 8:
When dividing 750 by 79, we get 9 with a remainder of 39.
Put 9 as the next digit of the answer. 
Result so far: 221.759
Subtract 711 from 750 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 9:
If we divide 390 by 79, we get 4 and a remainder of 74.
Record the quotient 4 as the next digit in the result. 
Result so far: 221.7594
Deduct 316 from 390 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 10:
79 can be fit into 740 9 times, resulting in a remainder of 29.
The number 9 becomes the next digit in our result. 
Result so far: 221.75949
Deduct 711 from 740 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 11:
290 divided by 79 is 3 with a remainder of 53.
The number 3 becomes the next digit in our result. 
Result so far: 221.759493
If we take 237 away from 290, we end up 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 12:
79 goes into 530 6 times with a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 221.7594936
Subtracting 474 from 530 leaves us 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.

Step 13:
When dividing 560 by 79, we get 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 221.75949367
The remainder is 7 after subtracting 553 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 221.75949367 with a remainder of 7e-09.