We divide 353374 by 8
Our goal is to divide 353374 by 8.

Moving on to step 1:
If we divide 3 by 8, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 8

On to step 2:
8 goes into 35 4 times with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 32 from 35 to get 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 8

Moving on to step 3:
8 can be fit into 33 4 times, resulting in a remainder of 1.
The next digit of our result is 4. 
Result so far: 44.0
The remainder is 1 after subtracting 32 from 33.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 8

Going ahead to step 4:
13 divided by 8 is 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 441.0
If we take 8 away from 13, we end up with 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 8

Step 5:
8 can be fit into 57 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 4417.0
Deduct 56 from 57 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 8

Advancing to step 6:
8 goes into 14 1 times with a remainder of 6.
The next digit of our result is 1. 
Result so far: 44171.0
Subtract 8 from 14 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.

Advancing to step 7:
If we divide 60 by 8, we get 7 and a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 44171.7
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.

Let's proceed to step 8:
If we divide 40 by 8, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 44171.75
Subtracting 40 from 40 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.

On to step 9:
0 divided by 8 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 44171.75
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.

On to step 10:
0 divided by 8 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 44171.75
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.

After the division, we end up with 44171.75 and a remainder of 0.0.