We look at the division of 342526 by 8 
We're looking to find how many times 8 goes into 342526.

Let's proceed to step 1:
8 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 8

Let's proceed to step 2:
The number 8 fits into 34 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 32 from 34 and we're left with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 8

Going ahead to step 3:
8 goes into 22 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 42.0
The remainder is 6 after subtracting 16 from 22.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 8

On to step 4:
65 divided by 8 is 8 with a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 428.0
The remainder is 1 after subtracting 64 from 65.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 8

Let's proceed to step 5:
8 can be fit into 12 1 times, resulting in a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 4281.0
The remainder is 4 after subtracting 8 from 12.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 8

Advancing to step 6:
The number 8 fits into 46 5 times, leaving a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 42815.0
If we subtract 40 from 46, we 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.

Let's proceed to step 7:
The number 8 fits into 60 7 times, leaving a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 42815.7
Subtract 56 from 60 to 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.

Advancing to step 8:
8 can be fit into 40 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 42815.75
If we subtract 40 from 40, we get 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 9:
8 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 42815.75
Deduct 0 from 0 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 10:
The number 8 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 42815.75
Deduct 0 from 0 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.

The final result is 42815.75 with a remainder of 0.0.