We look at the division of 596626 by 71 
Our goal is to divide 596626 by 71.

Step 1:
If we divide 5 by 71, we get 0 and a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 71

On to step 2:
The number 71 fits into 59 0 times, leaving a remainder of 59.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 59 leaves us with 59.
Grab the next digit (6) from the dividend, add it to 59, then carry on: 596 / 71

Step 3:
71 goes into 596 8 times with a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 568 from 596 and we're left with 28.
Include the next digit (6) from the dividend after 28, then repeat: 286 / 71

Step 4:
If we divide 286 by 71, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 84.0
If we take 284 away from 286, we end up with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 71

Let's proceed to step 5:
When dividing 22 by 71, we get 0 with a remainder of 22.
Record the quotient 0 as the next digit in the result. 
Result so far: 840.0
If we subtract 0 from 22, we get 22.
Include the next digit (6) from the dividend after 22, then repeat: 226 / 71

Moving on to step 6:
If we divide 226 by 71, we get 3 and a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 8403.0
The remainder is 13 after subtracting 213 from 226.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
130 divided by 71 is 1 with a remainder of 59.
The next digit of our result is 1. 
Result so far: 8403.1
Subtract 71 from 130 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 8:
The number 71 fits into 590 8 times, leaving a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 8403.18
Subtracting 568 from 590 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 9:
The number 71 fits into 220 3 times, leaving a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 8403.183
If we take 213 away from 220, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 10:
When dividing 70 by 71, we get 0 with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 8403.183
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 11:
71 can be fit into 700 9 times, resulting in a remainder of 61.
The number 9 becomes the next digit in our result. 
Result so far: 8403.18309
If we subtract 639 from 700, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Advancing to step 12:
When dividing 610 by 71, we get 8 with a remainder of 42.
The next digit of our result is 8. 
Result so far: 8403.183098
Deduct 568 from 610 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 13:
The number 71 fits into 420 5 times, leaving a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 8403.1830985
If we subtract 355 from 420, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 14:
71 can be fit into 650 9 times, resulting in a remainder of 11.
The next digit of our result is 9. 
Result so far: 8403.18309859
Subtract 639 from 650 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 8403.18309859 with a remaining 1.1e-08.