We're dividing 879271 by 7 
Let's see how many times 7 fits into 879271.

Advancing to step 1:
The number 7 fits into 8 1 times, leaving a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 7 from 8, we get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 7

Going ahead to step 2:
7 goes into 17 2 times with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 12.0
Deduct 14 from 17 and we're left with 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 7

Moving on to step 3:
7 can be fit into 39 5 times, resulting in a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 125.0
If we take 35 away from 39, we end up with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 7

Going ahead to step 4:
7 can be fit into 42 6 times, resulting in a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 1256.0
Subtracting 42 from 42 leaves us with 0.
Take the next digit (7) from the dividend and append it to 0, then repeat: 7 / 7

Moving on to step 5:
If we divide 7 by 7, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 12561.0
Subtract 7 from 7 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 7

Going ahead to step 6:
7 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 125610.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
7 goes into 10 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 125610.1
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 8:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 125610.14
If we take 28 away from 30, 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.

Let's proceed to step 9:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 125610.142
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 10:
7 goes into 60 8 times with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 125610.1428
If we take 56 away from 60, we end up 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.

Moving on to step 11:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 125610.14285
If we take 35 away from 40, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
When dividing 50 by 7, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 125610.142857
If we subtract 49 from 50, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 13:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 125610.1428571
Deduct 7 from 10 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 14:
If we divide 30 by 7, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 125610.14285714
Subtract 28 from 30 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 125610.14285714 and a remainder of 2e-09.