We're dividing 879310 by 14 
We want to figure out the number of times 879310 can be divided by 14.

Going ahead to step 1:
The number 14 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 14

Step 2:
14 can be fit into 87 6 times, resulting in a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 84 from 87 and we're left with 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 14

Step 3:
14 goes into 39 2 times with a remainder of 11.
The next digit of our result is 2. 
Result so far: 62.0
If we take 28 away from 39, we end up with 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 14

Step 4:
14 can be fit into 113 8 times, resulting in a remainder of 1.
The next digit of our result is 8. 
Result so far: 628.0
The remainder is 1 after subtracting 112 from 113.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 14

Let's proceed to step 5:
14 goes into 11 0 times with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 6280.0
Subtract 0 from 11 to get 11.
Grab the next digit (0) from the dividend, add it to 11, then carry on: 110 / 14

Going ahead to step 6:
110 divided by 14 is 7 with a remainder of 12.
The next digit of our result is 7. 
Result so far: 62807.0
Subtracting 98 from 110 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
When dividing 120 by 14, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 62807.8
Deduct 112 from 120 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
The number 14 fits into 80 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 62807.85
Subtracting 70 from 80 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
When dividing 100 by 14, we get 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 62807.857
If we take 98 away from 100, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
14 goes into 20 1 times with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 62807.8571
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
When dividing 60 by 14, we get 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 62807.85714
Subtracting 56 from 60 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
If we divide 40 by 14, we get 2 and a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 62807.857142
Subtracting 28 from 40 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
The number 14 fits into 120 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 62807.8571428
Deduct 112 from 120 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 14:
When dividing 80 by 14, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 62807.85714285
Subtracting 70 from 80 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 62807.85714285 with a balance of 1e-08.