972509 ÷ 71 
Our goal is to divide 972509 by 71.

Step 1:
9 divided by 71 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 71

Going ahead to step 2:
71 goes into 97 1 times with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 71 from 97 leaves us with 26.
Append the next digit (2) from the dividend to 26 and continue with: 262 / 71

Going ahead to step 3:
71 can be fit into 262 3 times, resulting in a remainder of 49.
Put 3 as the next digit of the answer. 
Result so far: 13.0
Deduct 213 from 262 and we're left with 49.
Include the next digit (5) from the dividend after 49, then repeat: 495 / 71

Let's proceed to step 4:
If we divide 495 by 71, we get 6 and a remainder of 69.
The number 6 becomes the next digit in our result. 
Result so far: 136.0
Subtracting 426 from 495 leaves us with 69.
Append the next digit (0) from the dividend to 69 and continue with: 690 / 71

Let's proceed to step 5:
The number 71 fits into 690 9 times, leaving a remainder of 51.
The next digit of our result is 9. 
Result so far: 1369.0
If we take 639 away from 690, we end up with 51.
Include the next digit (9) from the dividend after 51, then repeat: 519 / 71

Advancing to step 6:
71 goes into 519 7 times with a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 13697.0
The remainder is 22 after subtracting 497 from 519.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 7:
71 goes into 220 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 13697.3
Deduct 213 from 220 and we're left 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 8:
70 divided by 71 is 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 13697.3
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 9:
700 divided by 71 is 9 with a remainder of 61.
Record the quotient 9 as the next digit in the result. 
Result so far: 13697.309
The remainder is 61 after subtracting 639 from 700.
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 10:
71 can be fit into 610 8 times, resulting in a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 13697.3098
The remainder is 42 after subtracting 568 from 610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 11:
71 goes into 420 5 times with a remainder of 65.
Put 5 as the next digit of the answer. 
Result so far: 13697.30985
Deduct 355 from 420 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 12:
If we divide 650 by 71, we get 9 and a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 13697.309859
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.

Let's proceed to step 13:
110 divided by 71 is 1 with a remainder of 39.
The next digit of our result is 1. 
Result so far: 13697.3098591
The remainder is 39 after subtracting 71 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 14:
If we divide 390 by 71, we get 5 and a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 13697.30985915
The remainder is 35 after subtracting 355 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 13697.30985915 with a remaining 3.5e-08.