We're dividing 306434 by 71 
Our goal is to divide 306434 by 71.

Step 1:
If we divide 3 by 71, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 71

Let's proceed to step 2:
The number 71 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 30, we end up with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 71

Step 3:
If we divide 306 by 71, we get 4 and a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 284 from 306 to get 22.
Take the next digit (4) from the dividend and append it to 22, then repeat: 224 / 71

Advancing to step 4:
If we divide 224 by 71, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
If we take 213 away from 224, we end up with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 71

Moving on to step 5:
The number 71 fits into 113 1 times, leaving a remainder of 42.
The next digit of our result is 1. 
Result so far: 431.0
If we take 71 away from 113, we end up with 42.
Fetch the next digit (4) from the dividend, attach it to 42 and continue: 424 / 71

Moving on to step 6:
71 can be fit into 424 5 times, resulting in a remainder of 69.
Write down 5 as next digit of the result. 
Result so far: 4315.0
If we take 355 away from 424, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 7:
690 divided by 71 is 9 with a remainder of 51.
The next digit of our result is 9. 
Result so far: 4315.9
If we subtract 639 from 690, we get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 8:
71 goes into 510 7 times with a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 4315.97
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.

Advancing 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: 4315.971
If we subtract 71 from 130, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 10:
71 can be fit into 590 8 times, resulting in a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 4315.9718
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.

Let's proceed to step 11:
When dividing 220 by 71, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 4315.97183
The remainder is 7 after subtracting 213 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 12:
The number 71 fits into 70 0 times, leaving a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 4315.97183
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 13:
If we divide 700 by 71, we get 9 and a remainder of 61.
Use 9 as the next digit of our solution. 
Result so far: 4315.9718309
If we subtract 639 from 700, we get 61.
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:
71 goes into 610 8 times with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 4315.97183098
If we take 568 away from 610, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Our division results in 4315.97183098 with a remaining 4.2e-08.