Let's divide 45901 by 16
Our goal is to divide 45901 by 16.

Step 1:
4 divided by 16 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 16

Let's proceed to step 2:
If we divide 45 by 16, we get 2 and a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 32 away from 45, we end up with 13.
Append the next digit (9) from the dividend to 13 and continue with: 139 / 16

Moving on to step 3:
When dividing 139 by 16, we get 8 with a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 28.0
The remainder is 11 after subtracting 128 from 139.
Bring next digit (0) of the dividend behind the 11 and repeat the process: 110 / 16

On to step 4:
If we divide 110 by 16, we get 6 and a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 286.0
Deduct 96 from 110 and we're left with 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 16

Moving on to step 5:
16 can be fit into 141 8 times, resulting in a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 2868.0
Deduct 128 from 141 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 6:
The number 16 fits into 130 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 2868.8
If we subtract 128 from 130, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
When dividing 20 by 16, we get 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 2868.81
If we take 16 away from 20, 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.

On to step 8:
The number 16 fits into 40 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 2868.812
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.

Going ahead to 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: 2868.8125
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:
If we divide 0 by 16, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 2868.8125
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.

Moving on to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 2868.8125
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 2868.8125, with a leftover of 0.0.