353198 ÷ 8 
We're looking to find how many times 8 goes into 353198.

Step 1:
8 can be fit into 3 0 times, resulting in a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 8

Step 2:
35 divided by 8 is 4 with a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtracting 32 from 35 leaves us with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 8

Step 3:
33 divided by 8 is 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
Subtract 32 from 33 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 8

Step 4:
The number 8 fits into 11 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 441.0
If we take 8 away from 11, we end up with 3.
Take the next digit (9) from the dividend and append it to 3, then repeat: 39 / 8

On to step 5:
8 goes into 39 4 times with a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 4414.0
Deduct 32 from 39 and we're left with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 8

Going ahead to step 6:
If we divide 78 by 8, we get 9 and a remainder of 6.
The next digit of our result is 9. 
Result so far: 44149.0
Subtracting 72 from 78 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.

Step 7:
60 divided by 8 is 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 44149.7
Subtracting 56 from 60 leaves us 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.

Advancing to step 8:
When dividing 40 by 8, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 44149.75
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.

Moving on to step 9:
8 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 44149.75
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.

Let's proceed to step 10:
When dividing 0 by 8, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 44149.75
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 44149.75 with a balance of 0.0.