Let's divide 644430 by 71
Our goal is to divide 644430 by 71.

Let's proceed to step 1:
The number 71 fits into 6 0 times, leaving a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 71

Step 2:
When dividing 64 by 71, we get 0 with a remainder of 64.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Include the next digit (4) from the dividend after 64, then repeat: 644 / 71

On to step 3:
When dividing 644 by 71, we get 9 with a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 639 from 644, we get 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 71

Moving on to step 4:
71 can be fit into 54 0 times, resulting in a remainder of 54.
The number 0 becomes the next digit in our result. 
Result so far: 90.0
If we take 0 away from 54, we end up with 54.
Fetch the next digit (3) from the dividend, attach it to 54 and continue: 543 / 71

Going ahead to step 5:
71 can be fit into 543 7 times, resulting in a remainder of 46.
Record the quotient 7 as the next digit in the result. 
Result so far: 907.0
Subtract 497 from 543 to get 46.
Append the next digit (0) from the dividend to 46 and continue with: 460 / 71

Going ahead to step 6:
When dividing 460 by 71, we get 6 with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 9076.0
If we subtract 426 from 460, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 7:
When dividing 340 by 71, we get 4 with a remainder of 56.
Write down 4 as next digit of the result. 
Result so far: 9076.4
If we take 284 away from 340, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 8:
71 can be fit into 560 7 times, resulting in a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 9076.47
The remainder is 63 after subtracting 497 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 9:
71 can be fit into 630 8 times, resulting in a remainder of 62.
Put 8 as the next digit of the answer. 
Result so far: 9076.478
If we take 568 away from 630, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 10:
71 can be fit into 620 8 times, resulting in a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 9076.4788
Deduct 568 from 620 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 9076.4788, and the remainder is 0.00052.