We divide 251033 by 16
We're looking to find how many times 16 goes into 251033.

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
Deduct 0 from 2 and we're left with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 16

Moving on to step 2:
16 can be fit into 25 1 times, resulting in a remainder of 9.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 9 after subtracting 16 from 25.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 16

Let's proceed to step 3:
16 can be fit into 91 5 times, resulting in a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we subtract 80 from 91, we get 11.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 16

Advancing to step 4:
If we divide 110 by 16, we get 6 and a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 156.0
If we take 96 away from 110, we end up with 14.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 16

Going ahead to step 5:
If we divide 143 by 16, we get 8 and a remainder of 15.
Record the quotient 8 as the next digit in the result. 
Result so far: 1568.0
Subtracting 128 from 143 leaves us with 15.
Take the next digit (3) from the dividend and append it to 15, then repeat: 153 / 16

Step 6:
When dividing 153 by 16, we get 9 with a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 15689.0
The remainder is 9 after subtracting 144 from 153.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
16 goes into 90 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 15689.5
The remainder is 10 after subtracting 80 from 90.
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:
When dividing 100 by 16, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 15689.56
Deduct 96 from 100 and we're left 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.

Step 9:
16 goes into 40 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 15689.562
Deduct 32 from 40 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 15689.5625
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.

Going ahead to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 15689.5625
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.

On to step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 15689.5625
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.

In conclusion, the division gives 15689.5625 with a balance of 0.0.