35306 ÷ 2 
Let's see how many times 2 fits into 35306.

Going ahead to step 1:
When dividing 3 by 2, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 2 away from 3, we end up with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 2

Advancing to step 2:
If we divide 15 by 2, we get 7 and a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
The remainder is 1 after subtracting 14 from 15.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 2

On to step 3:
2 can be fit into 13 6 times, resulting in a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 176.0
Subtract 12 from 13 to get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 2

Going ahead to step 4:
2 can be fit into 10 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 1765.0
Subtract 10 from 10 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 2

Advancing to step 5:
The number 2 fits into 6 3 times, leaving a remainder of 0.
The next digit of our result is 3. 
Result so far: 17653.0
Subtracting 6 from 6 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.

Going ahead to step 6:
2 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 17653.0
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.

Step 7:
2 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 17653.0
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.

The quotient of the division is 17653.0, and the remainder is 0.0.