Let's divide 879586 by 8
We want to figure out the number of times 879586 can be divided by 8.

Going ahead to step 1:
8 goes into 8 1 times with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 8 from 8, we get 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 8

Step 2:
8 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 8

Advancing to step 3:
8 can be fit into 79 9 times, resulting in a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 109.0
If we take 72 away from 79, we end up with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 8

Let's proceed to step 4:
8 goes into 75 9 times with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 1099.0
Subtracting 72 from 75 leaves us with 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 8

Moving on to step 5:
The number 8 fits into 38 4 times, leaving a remainder of 6.
The next digit of our result is 4. 
Result so far: 10994.0
Subtract 32 from 38 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 8

Let's proceed to step 6:
If we divide 66 by 8, we get 8 and a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 109948.0
Subtract 64 from 66 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.

Step 7:
When dividing 20 by 8, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 109948.2
If we subtract 16 from 20, we get 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 8:
If we divide 40 by 8, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 109948.25
Deduct 40 from 40 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
0 divided by 8 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 109948.25
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
8 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 109948.25
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 109948.25 with a remainder of 0.0.