23643 ÷ 16 
Our goal is to divide 23643 by 16.

Step 1:
2 divided by 16 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 16

Advancing to step 2:
16 can be fit into 23 1 times, resulting in a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 16 from 23 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 16

Going ahead to step 3:
If we divide 76 by 16, we get 4 and a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtract 64 from 76 to get 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 16

On to step 4:
16 can be fit into 124 7 times, resulting in a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 147.0
If we take 112 away from 124, we end up with 12.
Fetch the next digit (3) from the dividend, attach it to 12 and continue: 123 / 16

Advancing to step 5:
When dividing 123 by 16, we get 7 with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 1477.0
The remainder is 11 after subtracting 112 from 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 6:
16 goes into 110 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 1477.6
If we take 96 away from 110, 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:
The number 16 fits into 140 8 times, leaving a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 1477.68
If we subtract 128 from 140, we get 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:
120 divided by 16 is 7 with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 1477.687
If we subtract 112 from 120, 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.

Advancing to step 9:
16 goes into 80 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 1477.6875
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.

On to step 10:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 1477.6875
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.

Advancing to step 11:
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: 1477.6875
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.

The final result is 1477.6875 with a remainder of 0.0.