Let's divide 309771 by 71
Our goal is to divide 309771 by 71.

Step 1:
If we divide 3 by 71, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 71

Advancing to step 2:
When dividing 30 by 71, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 30, we get 30.
Bring next digit (9) of the dividend behind the 30 and repeat the process: 309 / 71

On to step 3:
71 goes into 309 4 times with a remainder of 25.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 284 from 309 leaves us with 25.
Append the next digit (7) from the dividend to 25 and continue with: 257 / 71

On to step 4:
The number 71 fits into 257 3 times, leaving a remainder of 44.
Put 3 as the next digit of the answer. 
Result so far: 43.0
Subtract 213 from 257 to get 44.
Grab the next digit (7) from the dividend, add it to 44, then carry on: 447 / 71

Let's proceed to step 5:
The number 71 fits into 447 6 times, leaving a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 436.0
If we subtract 426 from 447, we get 21.
Include the next digit (1) from the dividend after 21, then repeat: 211 / 71

Step 6:
211 divided by 71 is 2 with a remainder of 69.
Write down 2 as next digit of the result. 
Result so far: 4362.0
If we subtract 142 from 211, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 7:
690 divided by 71 is 9 with a remainder of 51.
The next digit of our result is 9. 
Result so far: 4362.9
Deduct 639 from 690 and we're left with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Moving on to step 8:
If we divide 510 by 71, we get 7 and a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 4362.97
Subtracting 497 from 510 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
130 divided by 71 is 1 with a remainder of 59.
The number 1 becomes the next digit in our result. 
Result so far: 4362.971
Deduct 71 from 130 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 10:
71 can be fit into 590 8 times, resulting in a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 4362.9718
Subtracting 568 from 590 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 11:
If we divide 220 by 71, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 4362.97183
Deduct 213 from 220 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
When dividing 70 by 71, we get 0 with a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 4362.97183
If we subtract 0 from 70, we get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 13:
700 divided by 71 is 9 with a remainder of 61.
Write down 9 as next digit of the result. 
Result so far: 4362.9718309
The remainder is 61 after subtracting 639 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 14:
When dividing 610 by 71, we get 8 with a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 4362.97183098
If we subtract 568 from 610, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

In conclusion, the division gives 4362.97183098 with a balance of 4.2e-08.