We look at the division of 714584 by 71 
We're looking to find how many times 71 goes into 714584.

On to step 1:
71 can be fit into 7 0 times, resulting in a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 71

On to step 2:
71 divided by 71 is 1 with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 71 from 71 and we're left with 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 71

On to step 3:
71 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 10.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 71

Moving on to step 4:
When dividing 45 by 71, we get 0 with a remainder of 45.
Put 0 as the next digit of the answer. 
Result so far: 100.0
Subtracting 0 from 45 leaves us with 45.
Append the next digit (8) from the dividend to 45 and continue with: 458 / 71

Step 5:
When dividing 458 by 71, we get 6 with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 1006.0
If we take 426 away from 458, we end up with 32.
Take the next digit (4) from the dividend and append it to 32, then repeat: 324 / 71

Moving on to step 6:
The number 71 fits into 324 4 times, leaving a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 10064.0
If we take 284 away from 324, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 7:
71 goes into 400 5 times with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 10064.5
Subtracting 355 from 400 leaves us 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.

Going ahead to step 8:
When dividing 450 by 71, we get 6 with a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 10064.56
If we take 426 away from 450, we end up 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.

Advancing to step 9:
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: 10064.563
Subtracting 213 from 240 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 10:
71 can be fit into 270 3 times, resulting in a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 10064.5633
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.

The quotient of the division is 10064.5633, and the remainder is 0.00057.