We look at the division of 5263 by 16 
We're looking to find how many times 16 goes into 5263.

Advancing to step 1:
If we divide 5 by 16, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 16

Step 2:
The number 16 fits into 52 3 times, leaving a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 48 from 52 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 16

Advancing to step 3:
46 divided by 16 is 2 with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 32.0
If we subtract 32 from 46, we get 14.
Take the next digit (3) from the dividend and append it to 14, then repeat: 143 / 16

Step 4:
143 divided by 16 is 8 with a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 328.0
Subtract 128 from 143 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 5:
16 can be fit into 150 9 times, resulting in a remainder of 6.
Record the quotient 9 as the next digit in the result. 
Result so far: 328.9
Deduct 144 from 150 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 6:
When dividing 60 by 16, we get 3 with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 328.93
Deduct 48 from 60 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
120 divided by 16 is 7 with a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 328.937
Subtract 112 from 120 to 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.

Let's proceed to step 8:
16 goes into 80 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 328.9375
Subtracting 80 from 80 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.

Let's proceed to step 9:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 328.9375
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.

On to step 10:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 328.9375
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 final outcome is 328.9375, with a leftover of 0.0.