26565 ÷ 71 
Let's see how many times 71 fits into 26565.

Going ahead to step 1:
71 goes into 2 0 times with 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.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 71

Step 2:
71 goes into 26 0 times with a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Take the next digit (5) from the dividend and append it to 26, then repeat: 265 / 71

Moving on to step 3:
71 goes into 265 3 times with a remainder of 52.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 213 from 265 to get 52.
Append the next digit (6) from the dividend to 52 and continue with: 526 / 71

On to step 4:
71 can be fit into 526 7 times, resulting in a remainder of 29.
The next digit of our result is 7. 
Result so far: 37.0
Subtract 497 from 526 to get 29.
Take the next digit (5) from the dividend and append it to 29, then repeat: 295 / 71

Going ahead to step 5:
71 goes into 295 4 times with a remainder of 11.
The number 4 becomes the next digit in our result. 
Result so far: 374.0
The remainder is 11 after subtracting 284 from 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 6:
71 can be fit into 110 1 times, resulting in a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 374.1
The remainder is 39 after subtracting 71 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 7:
71 can be fit into 390 5 times, resulting in a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 374.15
Deduct 355 from 390 and we're left 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.

Going ahead to step 8:
350 divided by 71 is 4 with a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 374.154
Subtract 284 from 350 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 9:
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: 374.1549
Subtracting 639 from 660 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 10:
71 can be fit into 210 2 times, resulting in a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 374.15492
Subtract 142 from 210 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 11:
If we divide 680 by 71, we get 9 and a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 374.154929
Deduct 639 from 680 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 12:
71 can be fit into 410 5 times, resulting in a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 374.1549295
Subtract 355 from 410 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 13:
71 can be fit into 550 7 times, resulting in a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 374.15492957
Subtracting 497 from 550 leaves us 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.

The final result is 374.15492957 with a remainder of 5.3e-08.