637236 ÷ 71 
Our goal is to divide 637236 by 71.

Step 1:
6 divided by 71 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 71

On 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
Deduct 0 from 63 and we're left with 63.
Fetch the next digit (7) from the dividend, attach it to 63 and continue: 637 / 71

Advancing to 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.
Take the next digit (2) from the dividend and append it to 69, then repeat: 692 / 71

Advancing to step 4:
If we divide 692 by 71, we get 9 and a remainder of 53.
Record the quotient 9 as the next digit in the result. 
Result so far: 89.0
Deduct 639 from 692 and we're left with 53.
Include the next digit (3) from the dividend after 53, then repeat: 533 / 71

Going ahead to step 5:
71 goes into 533 7 times with a remainder of 36.
Write down 7 as next digit of the result. 
Result so far: 897.0
If we take 497 away from 533, we end up with 36.
Grab the next digit (6) from the dividend, add it to 36, then carry on: 366 / 71

Let's proceed to step 6:
When dividing 366 by 71, we get 5 with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 8975.0
Subtracting 355 from 366 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
71 goes into 110 1 times with a remainder of 39.
The next digit of our result is 1. 
Result so far: 8975.1
Deduct 71 from 110 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 8:
71 can be fit into 390 5 times, resulting in a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 8975.15
Subtracting 355 from 390 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
When dividing 350 by 71, we get 4 with a remainder of 66.
Put 4 as the next digit of the answer. 
Result so far: 8975.154
If we subtract 284 from 350, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 10:
660 divided by 71 is 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 8975.1549
Subtracting 639 from 660 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 11:
210 divided by 71 is 2 with a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 8975.15492
If we subtract 142 from 210, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 12:
71 can be fit into 680 9 times, resulting in a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 8975.154929
If we subtract 639 from 680, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 13:
71 can be fit into 410 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 8975.1549295
Subtract 355 from 410 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 14:
The number 71 fits into 550 7 times, leaving a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 8975.15492957
Deduct 497 from 550 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

After the division, we end up with 8975.15492957 and a remainder of 5.3e-08.