We look at the division of 875663 by 71 
Our goal is to divide 875663 by 71.

Step 1:
When dividing 8 by 71, we get 0 with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 71

Let's proceed to step 2:
71 can be fit into 87 1 times, resulting in a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 71 away from 87, we end up with 16.
Grab the next digit (5) from the dividend, add it to 16, then carry on: 165 / 71

Let's proceed to step 3:
71 goes into 165 2 times with a remainder of 23.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Subtract 142 from 165 to get 23.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 71

Let's proceed to step 4:
236 divided by 71 is 3 with a remainder of 23.
The number 3 becomes the next digit in our result. 
Result so far: 123.0
Subtracting 213 from 236 leaves us with 23.
Fetch the next digit (6) from the dividend, attach it to 23 and continue: 236 / 71

Moving on to step 5:
The number 71 fits into 236 3 times, leaving a remainder of 23.
The next digit of our result is 3. 
Result so far: 1233.0
Subtract 213 from 236 to get 23.
Fetch the next digit (3) from the dividend, attach it to 23 and continue: 233 / 71

Advancing to step 6:
The number 71 fits into 233 3 times, leaving a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 12333.0
Deduct 213 from 233 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
200 divided by 71 is 2 with a remainder of 58.
The next digit of our result is 2. 
Result so far: 12333.2
If we subtract 142 from 200, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 8:
The number 71 fits into 580 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 12333.28
If we subtract 568 from 580, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
The number 71 fits into 120 1 times, leaving a remainder of 49.
The next digit of our result is 1. 
Result so far: 12333.281
Subtracting 71 from 120 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 10:
If we divide 490 by 71, we get 6 and a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 12333.2816
Subtract 426 from 490 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 11:
71 goes into 640 9 times with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 12333.28169
If we subtract 639 from 640, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
71 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 12333.28169
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
100 divided by 71 is 1 with a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 12333.2816901
Deduct 71 from 100 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 14:
71 goes into 290 4 times with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 12333.28169014
Deduct 284 from 290 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 12333.28169014 with a balance of 6e-09.