We look at the division of 80213 by 71 
Let's see how many times 71 fits into 80213.

Step 1:
If we divide 8 by 71, we get 0 and a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 71

On to step 2:
80 divided by 71 is 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 71 from 80 leaves us with 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 71

Moving on to step 3:
71 can be fit into 92 1 times, resulting in a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we take 71 away from 92, we end up with 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 71

Moving on to step 4:
If we divide 211 by 71, we get 2 and a remainder of 69.
Use 2 as the next digit of our solution. 
Result so far: 112.0
If we subtract 142 from 211, we get 69.
Grab the next digit (3) from the dividend, add it to 69, then carry on: 693 / 71

Going ahead to step 5:
71 goes into 693 9 times with a remainder of 54.
Write down 9 as next digit of the result. 
Result so far: 1129.0
Subtracting 639 from 693 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 6:
When dividing 540 by 71, we get 7 with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 1129.7
Subtract 497 from 540 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 7:
When dividing 430 by 71, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 1129.76
If we subtract 426 from 430, 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:
40 divided by 71 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 1129.76
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
When dividing 400 by 71, we get 5 with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 1129.7605
Subtracting 355 from 400 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 10:
71 goes into 450 6 times with a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 1129.76056
Deduct 426 from 450 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
71 can be fit into 240 3 times, resulting in a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 1129.760563
Deduct 213 from 240 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 12:
71 goes into 270 3 times with a remainder of 57.
The next digit of our result is 3. 
Result so far: 1129.7605633
If we subtract 213 from 270, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 1129.7605633 and a remainder of 5.7e-07.