We're dividing 343441 by 71 
Our goal is to divide 343441 by 71.

Step 1:
When dividing 3 by 71, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 71

Going ahead to step 2:
71 can be fit into 34 0 times, resulting in a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Append the next digit (3) from the dividend to 34 and continue with: 343 / 71

On to step 3:
When dividing 343 by 71, we get 4 with a remainder of 59.
The next digit of our result is 4. 
Result so far: 4.0
If we take 284 away from 343, we end up with 59.
Include the next digit (4) from the dividend after 59, then repeat: 594 / 71

Step 4:
When dividing 594 by 71, we get 8 with a remainder of 26.
The next digit of our result is 8. 
Result so far: 48.0
Subtract 568 from 594 to get 26.
Include the next digit (4) from the dividend after 26, then repeat: 264 / 71

Going ahead to step 5:
71 goes into 264 3 times with a remainder of 51.
Use 3 as the next digit of our solution. 
Result so far: 483.0
The remainder is 51 after subtracting 213 from 264.
Take the next digit (1) from the dividend and append it to 51, then repeat: 511 / 71

Moving on to step 6:
71 can be fit into 511 7 times, resulting in a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 4837.0
If we subtract 497 from 511, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
If we divide 140 by 71, we get 1 and a remainder of 69.
Put 1 as the next digit of the answer. 
Result so far: 4837.1
Deduct 71 from 140 and we're left 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.

On to step 8:
When dividing 690 by 71, we get 9 with a remainder of 51.
Write down 9 as next digit of the result. 
Result so far: 4837.19
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 9:
If we divide 510 by 71, we get 7 and a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 4837.197
Subtract 497 from 510 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 10:
71 can be fit into 130 1 times, resulting in a remainder of 59.
The number 1 becomes the next digit in our result. 
Result so far: 4837.1971
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.

Step 11:
590 divided by 71 is 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 4837.19718
Deduct 568 from 590 and we're left 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 12:
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: 4837.197183
Subtracting 213 from 220 leaves us 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.

Let's proceed to step 13:
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: 4837.197183
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.

Advancing to step 14:
If we divide 700 by 71, we get 9 and a remainder of 61.
The number 9 becomes the next digit in our result. 
Result so far: 4837.19718309
Subtract 639 from 700 to 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.

The final result is 4837.19718309 with a remainder of 6.1e-08.