We're dividing 585116 by 71 
We want to figure out the number of times 585116 can be divided by 71.

Going ahead to step 1:
71 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 71

Moving on to step 2:
58 divided by 71 is 0 with a remainder of 58.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 58, we end up with 58.
Include the next digit (5) from the dividend after 58, then repeat: 585 / 71

Let's proceed to step 3:
When dividing 585 by 71, we get 8 with a remainder of 17.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 17 after subtracting 568 from 585.
Take the next digit (1) from the dividend and append it to 17, then repeat: 171 / 71

Step 4:
71 can be fit into 171 2 times, resulting in a remainder of 29.
The next digit of our result is 2. 
Result so far: 82.0
If we take 142 away from 171, we end up with 29.
Take the next digit (1) from the dividend and append it to 29, then repeat: 291 / 71

Advancing to step 5:
71 goes into 291 4 times with a remainder of 7.
Write down 4 as next digit of the result. 
Result so far: 824.0
If we subtract 284 from 291, we get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 71

Advancing to step 6:
When dividing 76 by 71, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 8241.0
Subtracting 71 from 76 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
The number 71 fits into 50 0 times, leaving a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 8241.0
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
The number 71 fits into 500 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 8241.07
If we take 497 away from 500, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 9:
If we divide 30 by 71, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 8241.07
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
When dividing 300 by 71, we get 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 8241.0704
The remainder is 16 after subtracting 284 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
If we divide 160 by 71, we get 2 and a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 8241.07042
If we take 142 away from 160, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
If we divide 180 by 71, we get 2 and a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 8241.070422
If we subtract 142 from 180, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 8241.070422 with a remaining 3.8e-06.