We're dividing 550377 by 71 
We're looking to find how many times 71 goes into 550377.

Going ahead to step 1:
When dividing 5 by 71, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 71

Moving on to step 2:
55 divided by 71 is 0 with a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 55 after subtracting 0 from 55.
Include the next digit (0) from the dividend after 55, then repeat: 550 / 71

Going ahead to step 3:
The number 71 fits into 550 7 times, leaving a remainder of 53.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 497 from 550 leaves us with 53.
Grab the next digit (3) from the dividend, add it to 53, then carry on: 533 / 71

Step 4:
If we divide 533 by 71, we get 7 and a remainder of 36.
Put 7 as the next digit of the answer. 
Result so far: 77.0
Subtract 497 from 533 to get 36.
Take the next digit (7) from the dividend and append it to 36, then repeat: 367 / 71

Let's proceed to step 5:
The number 71 fits into 367 5 times, leaving a remainder of 12.
Write down 5 as next digit of the result. 
Result so far: 775.0
Subtract 355 from 367 to get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 71

Step 6:
71 goes into 127 1 times with a remainder of 56.
The next digit of our result is 1. 
Result so far: 7751.0
The remainder is 56 after subtracting 71 from 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 7:
If we divide 560 by 71, we get 7 and a remainder of 63.
Use 7 as the next digit of our solution. 
Result so far: 7751.7
The remainder is 63 after subtracting 497 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Step 8:
When dividing 630 by 71, we get 8 with a remainder of 62.
The next digit of our result is 8. 
Result so far: 7751.78
Subtracting 568 from 630 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 9:
71 can be fit into 620 8 times, resulting in a remainder of 52.
The next digit of our result is 8. 
Result so far: 7751.788
The remainder is 52 after subtracting 568 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 7751.788, and the remainder is 0.0052.