We look at the division of 557836 by 71 
We're looking to find how many times 71 goes into 557836.

Moving on to step 1:
71 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 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.
Include the next digit (7) from the dividend after 55, then repeat: 557 / 71

Going ahead to step 3:
557 divided by 71 is 7 with a remainder of 60.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 60 after subtracting 497 from 557.
Grab the next digit (8) from the dividend, add it to 60, then carry on: 608 / 71

Moving on to step 4:
The number 71 fits into 608 8 times, leaving a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 78.0
If we take 568 away from 608, we end up with 40.
Include the next digit (3) from the dividend after 40, then repeat: 403 / 71

Moving on to step 5:
71 can be fit into 403 5 times, resulting in a remainder of 48.
The next digit of our result is 5. 
Result so far: 785.0
If we subtract 355 from 403, we get 48.
Grab the next digit (6) from the dividend, add it to 48, then carry on: 486 / 71

Step 6:
If we divide 486 by 71, we get 6 and a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 7856.0
Subtracting 426 from 486 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 7:
When dividing 600 by 71, we get 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 7856.8
Subtract 568 from 600 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
71 goes into 320 4 times with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 7856.84
Subtract 284 from 320 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 9:
When dividing 360 by 71, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 7856.845
The remainder is 5 after subtracting 355 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
71 goes into 50 0 times with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 7856.845
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 11:
500 divided by 71 is 7 with a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 7856.84507
If we take 497 away from 500, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
The number 71 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 7856.84507
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
If we divide 300 by 71, we get 4 and a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 7856.8450704
Subtracting 284 from 300 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
71 goes into 160 2 times with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 7856.84507042
Subtract 142 from 160 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final outcome is 7856.84507042, with a leftover of 1.8e-08.