559306 ÷ 71 
We're looking to find how many times 71 goes into 559306.

On to step 1:
71 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 71

Going ahead to step 2:
71 goes into 55 0 times with a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Take the next digit (9) from the dividend and append it to 55, then repeat: 559 / 71

Going ahead to step 3:
71 goes into 559 7 times with a remainder of 62.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 497 from 559 and we're left with 62.
Take the next digit (3) from the dividend and append it to 62, then repeat: 623 / 71

Advancing to step 4:
623 divided by 71 is 8 with a remainder of 55.
Write down 8 as next digit of the result. 
Result so far: 78.0
If we subtract 568 from 623, we get 55.
Append the next digit (0) from the dividend to 55 and continue with: 550 / 71

Let's proceed to step 5:
When dividing 550 by 71, we get 7 with a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 787.0
Subtract 497 from 550 to get 53.
Append the next digit (6) from the dividend to 53 and continue with: 536 / 71

Step 6:
The number 71 fits into 536 7 times, leaving a remainder of 39.
Record the quotient 7 as the next digit in the result. 
Result so far: 7877.0
Deduct 497 from 536 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 7:
If we divide 390 by 71, we get 5 and a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 7877.5
If we subtract 355 from 390, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
When dividing 350 by 71, we get 4 with a remainder of 66.
The next digit of our result is 4. 
Result so far: 7877.54
If we take 284 away from 350, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 9:
If we divide 660 by 71, we get 9 and a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 7877.549
Deduct 639 from 660 and we're left 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.

Step 10:
210 divided by 71 is 2 with a remainder of 68.
The next digit of our result is 2. 
Result so far: 7877.5492
Subtract 142 from 210 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 11:
71 can be fit into 680 9 times, resulting in a remainder of 41.
The next digit of our result is 9. 
Result so far: 7877.54929
If we subtract 639 from 680, we 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.

Moving on to step 12:
410 divided by 71 is 5 with a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 7877.549295
If we subtract 355 from 410, we 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.

Moving on to step 13:
71 goes into 550 7 times with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 7877.5492957
Deduct 497 from 550 and we're left 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.

Going ahead to step 14:
71 goes into 530 7 times with a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 7877.54929577
The remainder is 33 after subtracting 497 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final outcome is 7877.54929577, with a leftover of 3.3e-08.