346359 ÷ 71 
Our goal is to divide 346359 by 71.

Advancing to step 1:
71 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 71

On to step 2:
If we divide 34 by 71, we get 0 and a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 71

Let's proceed to step 3:
71 can be fit into 346 4 times, resulting in a remainder of 62.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 284 from 346 and we're left with 62.
Fetch the next digit (3) from the dividend, attach it to 62 and continue: 623 / 71

Step 4:
71 can be fit into 623 8 times, resulting in a remainder of 55.
The next digit of our result is 8. 
Result so far: 48.0
Subtract 568 from 623 to get 55.
Append the next digit (5) from the dividend to 55 and continue with: 555 / 71

Let's proceed to step 5:
If we divide 555 by 71, we get 7 and a remainder of 58.
Record the quotient 7 as the next digit in the result. 
Result so far: 487.0
If we subtract 497 from 555, we get 58.
Include the next digit (9) from the dividend after 58, then repeat: 589 / 71

On to step 6:
When dividing 589 by 71, we get 8 with a remainder of 21.
The number 8 becomes the next digit in our result. 
Result so far: 4878.0
If we take 568 away from 589, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
The number 71 fits into 210 2 times, leaving a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 4878.2
Deduct 142 from 210 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 8:
71 goes into 680 9 times with a remainder of 41.
The next digit of our result is 9. 
Result so far: 4878.29
Subtract 639 from 680 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 9:
When dividing 410 by 71, we get 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 4878.295
Subtract 355 from 410 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 10:
550 divided by 71 is 7 with a remainder of 53.
The next digit of our result is 7. 
Result so far: 4878.2957
Subtracting 497 from 550 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 11:
71 goes into 530 7 times with a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 4878.29577
Deduct 497 from 530 and we're left 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.

Our division results in 4878.29577 with a remaining 3.3e-05.