We look at the division of 879 by 19 
We want to figure out the number of times 879 can be divided by 19.

Step 1:
19 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 19

Let's proceed to step 2:
The number 19 fits into 87 4 times, leaving a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 76 away from 87, we end up with 11.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 19

Going ahead to step 3:
If we divide 119 by 19, we get 6 and a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 46.0
If we subtract 114 from 119, 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.

Going ahead to step 4:
If we divide 50 by 19, we get 2 and a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 46.2
Subtract 38 from 50 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 5:
19 can be fit into 120 6 times, resulting in a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 46.26
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 6:
60 divided by 19 is 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 46.263
The remainder is 3 after subtracting 57 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
19 goes into 30 1 times with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 46.2631
Subtracting 19 from 30 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
When dividing 110 by 19, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 46.26315
If we take 95 away from 110, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 9:
When dividing 150 by 19, we get 7 with a remainder of 17.
The next digit of our result is 7. 
Result so far: 46.263157
Subtract 133 from 150 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 10:
19 can be fit into 170 8 times, resulting in a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 46.2631578
If we take 152 away from 170, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 11:
If we divide 180 by 19, we get 9 and a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 46.26315789
If we take 171 away from 180, we end up 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.

In conclusion, the division gives 46.26315789 with a balance of 9e-09.