Let's divide 344598 by 8
We're looking to find how many times 8 goes into 344598.

Going ahead to step 1:
8 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 8

Advancing to step 2:
If we divide 34 by 8, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 32 from 34 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 8

Step 3:
24 divided by 8 is 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 43.0
If we take 24 away from 24, we end up with 0.
Grab the next digit (5) from the dividend, add it to 0, then carry on: 5 / 8

Let's proceed to step 4:
When dividing 5 by 8, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 430.0
Subtract 0 from 5 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 8

Let's proceed to step 5:
8 goes into 59 7 times with a remainder of 3.
The next digit of our result is 7. 
Result so far: 4307.0
Subtracting 56 from 59 leaves us with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 8

Advancing to step 6:
If we divide 38 by 8, we get 4 and a remainder of 6.
The next digit of our result is 4. 
Result so far: 43074.0
Subtract 32 from 38 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.

Moving on to step 7:
When dividing 60 by 8, we get 7 with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 43074.7
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.

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: 43074.75
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.

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: 43074.75
Subtract 0 from 0 to 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 10:
8 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 43074.75
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 43074.75 with a remainder of 0.0.