We're dividing 502365 by 71 
We want to divide 502365 by 71.

On to step 1:
71 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 71

Step 2:
If we divide 50 by 71, we get 0 and a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Fetch the next digit (2) from the dividend, attach it to 50 and continue: 502 / 71

Moving on to step 3:
The number 71 fits into 502 7 times, leaving a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 497 from 502, we get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 71

Advancing to step 4:
53 divided by 71 is 0 with a remainder of 53.
The next digit of our result is 0. 
Result so far: 70.0
If we take 0 away from 53, we end up with 53.
Fetch the next digit (6) from the dividend, attach it to 53 and continue: 536 / 71

Advancing to step 5:
The number 71 fits into 536 7 times, leaving a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 707.0
Subtracting 497 from 536 leaves us with 39.
Fetch the next digit (5) from the dividend, attach it to 39 and continue: 395 / 71

Advancing to step 6:
The number 71 fits into 395 5 times, leaving a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 7075.0
Subtract 355 from 395 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 7:
The number 71 fits into 400 5 times, leaving a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 7075.5
Subtracting 355 from 400 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 8:
450 divided by 71 is 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 7075.56
If we take 426 away from 450, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
When dividing 240 by 71, we get 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 7075.563
Deduct 213 from 240 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 10:
71 goes into 270 3 times with a remainder of 57.
Write down 3 as next digit of the result. 
Result so far: 7075.5633
Subtracting 213 from 270 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final outcome is 7075.5633, with a leftover of 0.00057.