22180 ÷ 71 
Let's see how many times 71 fits into 22180.

Moving on to step 1:
If we divide 2 by 71, we get 0 and a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 71

Moving on to step 2:
71 can be fit into 22 0 times, resulting in a remainder of 22.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 22 and we're left with 22.
Append the next digit (1) from the dividend to 22 and continue with: 221 / 71

Going ahead to step 3:
71 goes into 221 3 times with a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 213 from 221 and we're left with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 71

On to step 4:
The number 71 fits into 88 1 times, leaving a remainder of 17.
The next digit of our result is 1. 
Result so far: 31.0
Subtracting 71 from 88 leaves us with 17.
Take the next digit (0) from the dividend and append it to 17, then repeat: 170 / 71

Let's proceed to step 5:
When dividing 170 by 71, we get 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 312.0
Subtract 142 from 170 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 6:
If we divide 280 by 71, we get 3 and a remainder of 67.
Record the quotient 3 as the next digit in the result. 
Result so far: 312.3
Deduct 213 from 280 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 7:
If we divide 670 by 71, we get 9 and a remainder of 31.
The number 9 becomes the next digit in our result. 
Result so far: 312.39
Subtract 639 from 670 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

On to step 8:
71 can be fit into 310 4 times, resulting in a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 312.394
The remainder is 26 after subtracting 284 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 9:
If we divide 260 by 71, we get 3 and a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 312.3943
If we take 213 away from 260, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 10:
71 goes into 470 6 times with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 312.39436
Subtracting 426 from 470 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 11:
71 goes into 440 6 times with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 312.394366
Subtract 426 from 440 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

In conclusion, the division gives 312.394366 with a balance of 1.4e-06.