We look at the division of 71662 by 21 
Let's see how many times 21 fits into 71662.

Step 1:
When dividing 7 by 21, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 21

Advancing to step 2:
71 divided by 21 is 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 3.0
Subtracting 63 from 71 leaves us with 8.
Take the next digit (6) from the dividend and append it to 8, then repeat: 86 / 21

Moving on to step 3:
If we divide 86 by 21, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 34.0
Subtract 84 from 86 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 21

Let's proceed to step 4:
When dividing 26 by 21, we get 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 341.0
Subtract 21 from 26 to get 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 21

On to step 5:
21 can be fit into 52 2 times, resulting in a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 3412.0
The remainder is 10 after subtracting 42 from 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 6:
21 goes into 100 4 times with a remainder of 16.
The next digit of our result is 4. 
Result so far: 3412.4
Subtract 84 from 100 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 7:
The number 21 fits into 160 7 times, leaving a remainder of 13.
The next digit of our result is 7. 
Result so far: 3412.47
If we subtract 147 from 160, we get 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 8:
21 can be fit into 130 6 times, resulting in a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 3412.476
Deduct 126 from 130 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.

Moving on to step 9:
The number 21 fits into 40 1 times, leaving a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 3412.4761
Subtracting 21 from 40 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 10:
21 can be fit into 190 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 3412.47619
Subtracting 189 from 190 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 11:
21 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 3412.47619
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
The number 21 fits into 100 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 3412.4761904
The remainder is 16 after subtracting 84 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 13:
When dividing 160 by 21, we get 7 with a remainder of 13.
The next digit of our result is 7. 
Result so far: 3412.47619047
Deduct 147 from 160 and we're left 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.

After the division, we end up with 3412.47619047 and a remainder of 1.3e-08.