We look at the division of 637467 by 71 
We're looking to find how many times 71 goes into 637467.

On to step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 71

Going ahead to step 2:
71 goes into 63 0 times with a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Append the next digit (7) from the dividend to 63 and continue with: 637 / 71

Step 3:
71 goes into 637 8 times with a remainder of 69.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 568 from 637 leaves us with 69.
Bring next digit (4) of the dividend behind the 69 and repeat the process: 694 / 71

Step 4:
71 can be fit into 694 9 times, resulting in a remainder of 55.
The number 9 becomes the next digit in our result. 
Result so far: 89.0
Deduct 639 from 694 and we're left with 55.
Grab the next digit (6) from the dividend, add it to 55, then carry on: 556 / 71

Step 5:
If we divide 556 by 71, we get 7 and a remainder of 59.
The number 7 becomes the next digit in our result. 
Result so far: 897.0
Deduct 497 from 556 and we're left with 59.
Bring next digit (7) of the dividend behind the 59 and repeat the process: 597 / 71

Step 6:
If we divide 597 by 71, we get 8 and a remainder of 29.
Record the quotient 8 as the next digit in the result. 
Result so far: 8978.0
Subtract 568 from 597 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
71 goes into 290 4 times with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 8978.4
The remainder is 6 after subtracting 284 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
The number 71 fits into 60 0 times, leaving a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 8978.4
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 9:
71 goes into 600 8 times with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 8978.408
The remainder is 32 after subtracting 568 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
71 goes into 320 4 times with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 8978.4084
Subtracting 284 from 320 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 11:
If we divide 360 by 71, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8978.40845
Deduct 355 from 360 and we're left 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.

Step 12:
71 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 8978.40845
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 13:
71 goes into 500 7 times with a remainder of 3.
The next digit of our result is 7. 
Result so far: 8978.4084507
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.

Advancing to step 14:
30 divided by 71 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 8978.4084507
If we take 0 away from 30, we end up 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.

The final outcome is 8978.4084507, with a leftover of 3e-08.