503955 ÷ 71 
We're looking to find how many times 71 goes into 503955.

Let's proceed to step 1:
If we divide 5 by 71, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (0) from the dividend after 5, then repeat: 50 / 71

Going ahead to step 2:
71 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Grab the next digit (3) from the dividend, add it to 50, then carry on: 503 / 71

Moving on to step 3:
The number 71 fits into 503 7 times, leaving a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 497 from 503, we get 6.
Grab the next digit (9) from the dividend, add it to 6, then carry on: 69 / 71

Going ahead to step 4:
71 can be fit into 69 0 times, resulting in a remainder of 69.
Write down 0 as next digit of the result. 
Result so far: 70.0
If we take 0 away from 69, we end up with 69.
Fetch the next digit (5) from the dividend, attach it to 69 and continue: 695 / 71

Moving on to step 5:
When dividing 695 by 71, we get 9 with a remainder of 56.
Use 9 as the next digit of our solution. 
Result so far: 709.0
The remainder is 56 after subtracting 639 from 695.
Take the next digit (5) from the dividend and append it to 56, then repeat: 565 / 71

Let's proceed to step 6:
If we divide 565 by 71, we get 7 and a remainder of 68.
Use 7 as the next digit of our solution. 
Result so far: 7097.0
If we subtract 497 from 565, we 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.

On to step 7:
If we divide 680 by 71, we get 9 and a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 7097.9
Deduct 639 from 680 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 8:
410 divided by 71 is 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 7097.95
The remainder is 55 after subtracting 355 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 9:
71 goes into 550 7 times with a remainder of 53.
The next digit of our result is 7. 
Result so far: 7097.957
Subtracting 497 from 550 leaves us 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.

Moving on to step 10:
530 divided by 71 is 7 with a remainder of 33.
The next digit of our result is 7. 
Result so far: 7097.9577
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.

After the division, we end up with 7097.9577 and a remainder of 0.00033.