We're dividing 21406 by 71 
We're looking to find how many times 71 goes into 21406.

Step 1:
The number 71 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 71

On to step 2:
If we divide 21 by 71, we get 0 and a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 21 leaves us with 21.
Bring next digit (4) of the dividend behind the 21 and repeat the process: 214 / 71

Going ahead to step 3:
The number 71 fits into 214 3 times, leaving a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 1 after subtracting 213 from 214.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 71

Advancing to step 4:
If we divide 10 by 71, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
Subtract 0 from 10 to get 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 71

Moving on to step 5:
71 can be fit into 106 1 times, resulting in a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 301.0
If we take 71 away from 106, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 6:
350 divided by 71 is 4 with a remainder of 66.
Put 4 as the next digit of the answer. 
Result so far: 301.4
The remainder is 66 after subtracting 284 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 7:
71 can be fit into 660 9 times, resulting in a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 301.49
If we subtract 639 from 660, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 8:
If we divide 210 by 71, we get 2 and a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 301.492
Deduct 142 from 210 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 9:
680 divided by 71 is 9 with a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 301.4929
The remainder is 41 after subtracting 639 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 10:
The number 71 fits into 410 5 times, leaving a remainder of 55.
The next digit of our result is 5. 
Result so far: 301.49295
If we take 355 away from 410, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 11:
71 goes into 550 7 times with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 301.492957
If we take 497 away from 550, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 12:
530 divided by 71 is 7 with a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 301.4929577
Subtract 497 from 530 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

After the division, we end up with 301.4929577 and a remainder of 3.3e-07.