11259 ÷ 71 
We want to figure out the number of times 11259 can be divided by 71.

Moving on to step 1:
The number 71 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 71

Advancing to step 2:
71 can be fit into 11 0 times, resulting in a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 71

Moving on to step 3:
When dividing 112 by 71, we get 1 with a remainder of 41.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 41 after subtracting 71 from 112.
Bring next digit (5) of the dividend behind the 41 and repeat the process: 415 / 71

Moving on to step 4:
The number 71 fits into 415 5 times, leaving a remainder of 60.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
The remainder is 60 after subtracting 355 from 415.
Grab the next digit (9) from the dividend, add it to 60, then carry on: 609 / 71

Step 5:
609 divided by 71 is 8 with a remainder of 41.
The next digit of our result is 8. 
Result so far: 158.0
If we subtract 568 from 609, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 6:
71 can be fit into 410 5 times, resulting in a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 158.5
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.

Let's proceed to step 7:
When dividing 550 by 71, we get 7 with a remainder of 53.
The next digit of our result is 7. 
Result so far: 158.57
Deduct 497 from 550 and we're left 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.

Moving on to step 8:
71 goes into 530 7 times with a remainder of 33.
The next digit of our result is 7. 
Result so far: 158.577
Subtracting 497 from 530 leaves us with 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 158.577 and a remainder of 0.0033.