Let's divide 45301 by 16
We want to divide 45301 by 16.

Going ahead to step 1:
If we divide 4 by 16, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 16

Going ahead to step 2:
If we divide 45 by 16, we get 2 and a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 32 from 45 leaves us with 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 16

On to step 3:
If we divide 133 by 16, we get 8 and a remainder of 5.
The next digit of our result is 8. 
Result so far: 28.0
If we subtract 128 from 133, we get 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 16

On to step 4:
50 divided by 16 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 283.0
Subtracting 48 from 50 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 16

Moving on to step 5:
16 goes into 21 1 times with a remainder of 5.
The next digit of our result is 1. 
Result so far: 2831.0
The remainder is 5 after subtracting 16 from 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 6:
50 divided by 16 is 3 with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 2831.3
If we take 48 away from 50, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
16 can be fit into 20 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 2831.31
Deduct 16 from 20 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 8:
16 goes into 40 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 2831.312
If we take 32 away from 40, we end up 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.

Step 9:
If we divide 80 by 16, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 2831.3125
Subtract 80 from 80 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 10:
16 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 2831.3125
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.

Step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 2831.3125
The remainder is 0 after subtracting 0 from 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 2831.3125, with a leftover of 0.0.