We divide 203953 by 16
Our goal is to divide 203953 by 16.

Moving on to step 1:
When dividing 2 by 16, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 16

Advancing to step 2:
If we divide 20 by 16, we get 1 and a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 16 from 20 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 16

Advancing to step 3:
16 goes into 43 2 times with a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 11 after subtracting 32 from 43.
Take the next digit (9) from the dividend and append it to 11, then repeat: 119 / 16

Step 4:
119 divided by 16 is 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 127.0
Deduct 112 from 119 and we're left with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 16

Step 5:
16 can be fit into 75 4 times, resulting in a remainder of 11.
Put 4 as the next digit of the answer. 
Result so far: 1274.0
The remainder is 11 after subtracting 64 from 75.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 16

Moving on to step 6:
113 divided by 16 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 12747.0
Deduct 112 from 113 and we're left 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.

Step 7:
16 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 12747.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
The number 16 fits into 100 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 12747.06
If we take 96 away from 100, we end up 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.

Let's proceed to step 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 12747.062
If we subtract 32 from 40, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 12747.0625
If we subtract 80 from 80, 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.

On to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 12747.0625
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.

Advancing to step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 12747.0625
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 12747.0625, and the remainder is 0.0.