Let's divide 185724 by 71
We're looking to find how many times 71 goes into 185724.

Advancing to step 1:
When dividing 1 by 71, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 71

Let's proceed to step 2:
If we divide 18 by 71, we get 0 and a remainder of 18.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 18, we get 18.
Bring next digit (5) of the dividend behind the 18 and repeat the process: 185 / 71

Going ahead to step 3:
If we divide 185 by 71, we get 2 and a remainder of 43.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we subtract 142 from 185, we get 43.
Include the next digit (7) from the dividend after 43, then repeat: 437 / 71

Step 4:
71 can be fit into 437 6 times, resulting in a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
Subtract 426 from 437 to get 11.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 71

Moving on to step 5:
71 goes into 112 1 times with a remainder of 41.
The next digit of our result is 1. 
Result so far: 261.0
Subtract 71 from 112 to get 41.
Include the next digit (4) from the dividend after 41, then repeat: 414 / 71

On to step 6:
71 goes into 414 5 times with a remainder of 59.
Put 5 as the next digit of the answer. 
Result so far: 2615.0
Subtracting 355 from 414 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 7:
The number 71 fits into 590 8 times, leaving a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 2615.8
Deduct 568 from 590 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
71 goes into 220 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 2615.83
Subtracting 213 from 220 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
70 divided by 71 is 0 with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 2615.83
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 10:
When dividing 700 by 71, we get 9 with a remainder of 61.
The next digit of our result is 9. 
Result so far: 2615.8309
Deduct 639 from 700 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 11:
When dividing 610 by 71, we get 8 with a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 2615.83098
Deduct 568 from 610 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 12:
420 divided by 71 is 5 with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 2615.830985
Deduct 355 from 420 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 13:
71 can be fit into 650 9 times, resulting in a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 2615.8309859
If we subtract 639 from 650, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 14:
71 goes into 110 1 times with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 2615.83098591
If we subtract 71 from 110, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Our division results in 2615.83098591 with a remaining 3.9e-08.