We're dividing 41387 by 16 
Our goal is to divide 41387 by 16.

Step 1:
16 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 16

Going ahead to step 2:
16 goes into 41 2 times with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 32 away from 41, we end up with 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 16

Let's proceed to step 3:
93 divided by 16 is 5 with a remainder of 13.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Deduct 80 from 93 and we're left with 13.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 16

Let's proceed to step 4:
If we divide 138 by 16, we get 8 and a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 258.0
Deduct 128 from 138 and we're left with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 16

Advancing to step 5:
When dividing 107 by 16, we get 6 with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 2586.0
Deduct 96 from 107 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 6:
16 goes into 110 6 times with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 2586.6
The remainder is 14 after subtracting 96 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
16 can be fit into 140 8 times, resulting in a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 2586.68
Subtracting 128 from 140 leaves us 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: 2586.687
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:
If we divide 80 by 16, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 2586.6875
Subtracting 80 from 80 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.

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: 2586.6875
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.

On to step 11:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 2586.6875
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.

After the division, we end up with 2586.6875 and a remainder of 0.0.