We're dividing 71681 by 16 
We're looking to find how many times 16 goes into 71681.

On to step 1:
The number 16 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 16

Advancing to step 2:
71 divided by 16 is 4 with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 64 away from 71, we end up with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 16

Moving on to step 3:
16 can be fit into 76 4 times, resulting in a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
If we take 64 away from 76, we end up with 12.
Include the next digit (8) from the dividend after 12, then repeat: 128 / 16

Let's proceed to step 4:
16 goes into 128 8 times with a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 448.0
Subtracting 128 from 128 leaves us with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 16

Going ahead to step 5:
16 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 4480.0
Subtract 0 from 1 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
If we divide 10 by 16, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 4480.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
16 goes into 100 6 times with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 4480.06
If we subtract 96 from 100, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
16 can be fit into 40 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 4480.062
Deduct 32 from 40 and we're left 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.

Advancing to step 9:
When dividing 80 by 16, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 4480.0625
If we take 80 away from 80, 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.

Step 10:
0 divided by 16 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4480.0625
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.

Let's proceed to step 11:
16 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 4480.0625
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.

The quotient of the division is 4480.0625, and the remainder is 0.0.