We look at the division of 538681 by 71 
We're looking to find how many times 71 goes into 538681.

Going ahead to step 1:
When dividing 5 by 71, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 71

Moving on to step 2:
When dividing 53 by 71, we get 0 with a remainder of 53.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 53, we end up with 53.
Take the next digit (8) from the dividend and append it to 53, then repeat: 538 / 71

Going ahead to step 3:
538 divided by 71 is 7 with a remainder of 41.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 497 from 538 to get 41.
Fetch the next digit (6) from the dividend, attach it to 41 and continue: 416 / 71

Step 4:
When dividing 416 by 71, we get 5 with a remainder of 61.
The number 5 becomes the next digit in our result. 
Result so far: 75.0
Subtracting 355 from 416 leaves us with 61.
Include the next digit (8) from the dividend after 61, then repeat: 618 / 71

Advancing to step 5:
71 can be fit into 618 8 times, resulting in a remainder of 50.
Record the quotient 8 as the next digit in the result. 
Result so far: 758.0
Subtracting 568 from 618 leaves us with 50.
Grab the next digit (1) from the dividend, add it to 50, then carry on: 501 / 71

Step 6:
501 divided by 71 is 7 with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 7587.0
If we subtract 497 from 501, 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.

Advancing to step 7:
71 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 7587.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
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: 7587.05
Deduct 355 from 400 and we're left 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.

On to step 9:
71 goes into 450 6 times with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 7587.056
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.

Going ahead to step 10:
71 can be fit into 240 3 times, resulting in a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 7587.0563
Subtract 213 from 240 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 11:
270 divided by 71 is 3 with a remainder of 57.
The next digit of our result is 3. 
Result so far: 7587.05633
The remainder is 57 after subtracting 213 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Our division results in 7587.05633 with a remaining 5.7e-05.