We're dividing 971567 by 71 
We want to figure out the number of times 971567 can be divided by 71.

On to step 1:
71 can be fit into 9 0 times, resulting in a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 71

Going ahead to step 2:
The number 71 fits into 97 1 times, leaving a remainder of 26.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 26 after subtracting 71 from 97.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 71

Step 3:
71 can be fit into 261 3 times, resulting in a remainder of 48.
Write down 3 as next digit of the result. 
Result so far: 13.0
The remainder is 48 after subtracting 213 from 261.
Append the next digit (5) from the dividend to 48 and continue with: 485 / 71

Advancing to step 4:
71 goes into 485 6 times with a remainder of 59.
The number 6 becomes the next digit in our result. 
Result so far: 136.0
Subtract 426 from 485 to get 59.
Bring next digit (6) of the dividend behind the 59 and repeat the process: 596 / 71

On to step 5:
71 can be fit into 596 8 times, resulting in a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 1368.0
Subtract 568 from 596 to get 28.
Fetch the next digit (7) from the dividend, attach it to 28 and continue: 287 / 71

Let's proceed to step 6:
The number 71 fits into 287 4 times, leaving a remainder of 3.
Use 4 as the next digit of our solution. 
Result so far: 13684.0
If we take 284 away from 287, 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.

Moving on to step 7:
When dividing 30 by 71, we get 0 with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 13684.0
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
The number 71 fits into 300 4 times, leaving a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 13684.04
Subtracting 284 from 300 leaves us with 16.
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 9:
When dividing 160 by 71, we get 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 13684.042
If we subtract 142 from 160, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 10:
If we divide 180 by 71, we get 2 and a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 13684.0422
Subtracting 142 from 180 leaves us with 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 13684.0422 with a remaining 0.00038.