We're dividing 45843 by 16 
Our goal is to divide 45843 by 16.

Let's proceed to step 1:
When dividing 4 by 16, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 16

On to step 2:
45 divided by 16 is 2 with a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 2.0
The remainder is 13 after subtracting 32 from 45.
Fetch the next digit (8) from the dividend, attach it to 13 and continue: 138 / 16

Going ahead to step 3:
If we divide 138 by 16, we get 8 and a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 28.0
Deduct 128 from 138 and we're left with 10.
Bring next digit (4) of the dividend behind the 10 and repeat the process: 104 / 16

Let's proceed to step 4:
If we divide 104 by 16, we get 6 and a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 286.0
If we take 96 away from 104, we end up with 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 16

Advancing to step 5:
If we divide 83 by 16, we get 5 and a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 2865.0
Deduct 80 from 83 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 6:
When dividing 30 by 16, we get 1 with a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 2865.1
If we take 16 away from 30, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
140 divided by 16 is 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 2865.18
Deduct 128 from 140 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.

Let's proceed to step 8:
If we divide 120 by 16, we get 7 and a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 2865.187
If we take 112 away from 120, 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.

Moving on to step 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 2865.1875
The remainder is 0 after subtracting 80 from 80.
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.
Record the quotient 0 as the next digit in the result. 
Result so far: 2865.1875
Subtract 0 from 0 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.

Moving on to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 2865.1875
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.

In conclusion, the division gives 2865.1875 with a balance of 0.0.