We're dividing 437712 by 71 
Let's see how many times 71 fits into 437712.

On to step 1:
If we divide 4 by 71, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 71

On to step 2:
When dividing 43 by 71, we get 0 with a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Take the next digit (7) from the dividend and append it to 43, then repeat: 437 / 71

Going ahead to step 3:
437 divided by 71 is 6 with a remainder of 11.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 426 from 437, we get 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 71

Step 4:
71 goes into 117 1 times with a remainder of 46.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
Deduct 71 from 117 and we're left with 46.
Take the next digit (1) from the dividend and append it to 46, then repeat: 461 / 71

Let's proceed to step 5:
When dividing 461 by 71, we get 6 with a remainder of 35.
The next digit of our result is 6. 
Result so far: 616.0
If we take 426 away from 461, we end up with 35.
Bring next digit (2) of the dividend behind the 35 and repeat the process: 352 / 71

Step 6:
When dividing 352 by 71, we get 4 with a remainder of 68.
The next digit of our result is 4. 
Result so far: 6164.0
The remainder is 68 after subtracting 284 from 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 7:
If we divide 680 by 71, we get 9 and a remainder of 41.
The next digit of our result is 9. 
Result so far: 6164.9
Subtracting 639 from 680 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 8:
410 divided by 71 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 6164.95
Subtracting 355 from 410 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 9:
71 can be fit into 550 7 times, resulting in a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 6164.957
The remainder is 53 after subtracting 497 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 10:
71 goes into 530 7 times with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 6164.9577
If we take 497 away from 530, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The quotient of the division is 6164.9577, and the remainder is 0.00033.