45533 divided by 16 
We want to divide 45533 by 16.

Moving on to step 1:
16 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 16

Going ahead to step 2:
16 can be fit into 45 2 times, resulting in a remainder of 13.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 32 from 45, we get 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 16

Advancing to step 3:
If we divide 135 by 16, we get 8 and a remainder of 7.
Record the quotient 8 as the next digit in the result. 
Result so far: 28.0
Subtract 128 from 135 to get 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 16

Let's proceed to step 4:
73 divided by 16 is 4 with a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 284.0
If we subtract 64 from 73, we get 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 16

Moving on to step 5:
93 divided by 16 is 5 with a remainder of 13.
The number 5 becomes the next digit in our result. 
Result so far: 2845.0
Subtracting 80 from 93 leaves us 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.

Advancing to step 6:
130 divided by 16 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 2845.8
If we take 128 away from 130, 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.

Step 7:
16 can be fit into 20 1 times, resulting in a remainder of 4.
The next digit of our result is 1. 
Result so far: 2845.81
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.

On to step 8:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 2845.812
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.

On to step 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 2845.8125
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 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 2845.8125
Subtracting 0 from 0 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.

Going ahead to step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 2845.8125
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 2845.8125, and the remainder is 0.0.