879665 divided by 7 
We're looking to find how many times 7 goes into 879665.

Advancing to step 1:
7 can be fit into 8 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
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

On to step 2:
7 can be fit into 17 2 times, resulting in a remainder of 3.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 14 from 17 to get 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 7

Going ahead to step 3:
When dividing 39 by 7, we get 5 with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
Subtract 35 from 39 to get 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 7

Step 4:
When dividing 46 by 7, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 1256.0
Deduct 42 from 46 and we're left with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 7

On to step 5:
7 can be fit into 46 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 12566.0
If we subtract 42 from 46, we get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 7

Moving on to step 6:
The number 7 fits into 45 6 times, leaving a remainder of 3.
The next digit of our result is 6. 
Result so far: 125666.0
Subtracting 42 from 45 leaves us 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.

Going ahead to step 7:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 125666.4
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.

Let's proceed to step 8:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 125666.42
Subtracting 14 from 20 leaves us 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.

Advancing to step 9:
If we divide 60 by 7, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 125666.428
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.

Let's proceed to step 10:
If we divide 40 by 7, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 125666.4285
The remainder is 5 after subtracting 35 from 40.
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 11:
50 divided by 7 is 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 125666.42857
If we take 49 away from 50, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 12:
7 goes into 10 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 125666.428571
Subtracting 7 from 10 leaves us 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.

Step 13:
If we divide 30 by 7, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 125666.4285714
Subtracting 28 from 30 leaves us 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 14:
7 goes into 20 2 times with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 125666.42857142
If we take 14 away from 20, we end up 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.

The final outcome is 125666.42857142, with a leftover of 6e-09.