We look at the division of 203962 by 2 
We want to figure out the number of times 203962 can be divided by 2.

Step 1:
The number 2 fits into 2 1 times, leaving a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 2 from 2 and we're left with 0.
Fetch the next digit (0) from the dividend, attach it to 0 and continue: 0 / 2

Going ahead to step 2:
If we divide 0 by 2, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 0 leaves us with 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 2

Going ahead to step 3:
If we divide 3 by 2, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 101.0
If we take 2 away from 3, we end up with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 2

Step 4:
19 divided by 2 is 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 1019.0
Deduct 18 from 19 and we're left with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 2

On to step 5:
When dividing 16 by 2, we get 8 with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 10198.0
Subtracting 16 from 16 leaves us with 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 2

Advancing to step 6:
2 can be fit into 2 1 times, resulting in a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 101981.0
The remainder is 0 after subtracting 2 from 2.
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:
When dividing 0 by 2, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 101981.0
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.

Step 8:
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: 101981.0
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.

The quotient of the division is 101981.0, and the remainder is 0.0.