We divide 527561 by 71
Our goal is to divide 527561 by 71.

On to step 1:
The number 71 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 71

Going ahead to step 2:
When dividing 52 by 71, we get 0 with a remainder of 52.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 52, we get 52.
Grab the next digit (7) from the dividend, add it to 52, then carry on: 527 / 71

Step 3:
527 divided by 71 is 7 with a remainder of 30.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 497 from 527 to get 30.
Take the next digit (5) from the dividend and append it to 30, then repeat: 305 / 71

Let's proceed to step 4:
71 can be fit into 305 4 times, resulting in a remainder of 21.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
If we take 284 away from 305, we end up with 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 71

Let's proceed to step 5:
When dividing 216 by 71, we get 3 with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 743.0
Subtract 213 from 216 to get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 71

On to step 6:
71 goes into 31 0 times with a remainder of 31.
Record the quotient 0 as the next digit in the result. 
Result so far: 7430.0
Deduct 0 from 31 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
310 divided by 71 is 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 7430.4
The remainder is 26 after subtracting 284 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
The number 71 fits into 260 3 times, leaving a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 7430.43
The remainder is 47 after subtracting 213 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 9:
The number 71 fits into 470 6 times, leaving a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 7430.436
The remainder is 44 after subtracting 426 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 10:
The number 71 fits into 440 6 times, leaving a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 7430.4366
If we subtract 426 from 440, 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.

After the division, we end up with 7430.4366 and a remainder of 0.00014.