We divide 353113 by 2
We're looking to find how many times 2 goes into 353113.

Moving on to step 1:
2 can be fit into 3 1 times, resulting in a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 2 from 3 and we're left with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 2

On to step 2:
If we divide 15 by 2, we get 7 and a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we take 14 away from 15, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 2

Advancing to step 3:
If we divide 13 by 2, we get 6 and a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 176.0
If we subtract 12 from 13, we get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 2

On to step 4:
If we divide 11 by 2, we get 5 and a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 1765.0
Subtract 10 from 11 to get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 2

Step 5:
The number 2 fits into 11 5 times, leaving a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 17655.0
If we subtract 10 from 11, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 2

Going ahead to step 6:
The number 2 fits into 13 6 times, leaving a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 176556.0
If we take 12 away from 13, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
10 divided by 2 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 176556.5
Subtracting 10 from 10 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.

Advancing to step 8:
0 divided by 2 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 176556.5
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.

Advancing to step 9:
2 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 176556.5
If we subtract 0 from 0, 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.

The final outcome is 176556.5, with a leftover of 0.0.