We look at the division of 644136 by 71 
We want to divide 644136 by 71.

Step 1:
71 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 71

Going ahead to step 2:
When dividing 64 by 71, we get 0 with a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 64 to get 64.
Include the next digit (4) from the dividend after 64, then repeat: 644 / 71

On to step 3:
If we divide 644 by 71, we get 9 and a remainder of 5.
The next digit of our result is 9. 
Result so far: 9.0
Deduct 639 from 644 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 71

Step 4:
The number 71 fits into 51 0 times, leaving a remainder of 51.
Use 0 as the next digit of our solution. 
Result so far: 90.0
The remainder is 51 after subtracting 0 from 51.
Fetch the next digit (3) from the dividend, attach it to 51 and continue: 513 / 71

Let's proceed to step 5:
When dividing 513 by 71, we get 7 with a remainder of 16.
The next digit of our result is 7. 
Result so far: 907.0
If we take 497 away from 513, we end up with 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 71

Going ahead to step 6:
71 goes into 166 2 times with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 9072.0
If we subtract 142 from 166, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
71 can be fit into 240 3 times, resulting in a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 9072.3
Deduct 213 from 240 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 8:
270 divided by 71 is 3 with a remainder of 57.
The next digit of our result is 3. 
Result so far: 9072.33
The remainder is 57 after subtracting 213 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 9072.33 and a remainder of 0.057.