503981 ÷ 71 
We're looking to find how many times 71 goes into 503981.

Advancing to step 1:
The number 71 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 71

Advancing to 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
Subtracting 0 from 50 leaves us with 50.
Include the next digit (3) from the dividend after 50, then repeat: 503 / 71

Moving on to step 3:
71 can be fit into 503 7 times, resulting in a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 497 from 503 to get 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 71

Let's proceed to step 4:
69 divided by 71 is 0 with a remainder of 69.
Use 0 as the next digit of our solution. 
Result so far: 70.0
Subtracting 0 from 69 leaves us with 69.
Grab the next digit (8) from the dividend, add it to 69, then carry on: 698 / 71

Advancing to step 5:
When dividing 698 by 71, we get 9 with a remainder of 59.
Use 9 as the next digit of our solution. 
Result so far: 709.0
Subtract 639 from 698 to get 59.
Bring next digit (1) of the dividend behind the 59 and repeat the process: 591 / 71

Step 6:
If we divide 591 by 71, we get 8 and a remainder of 23.
Use 8 as the next digit of our solution. 
Result so far: 7098.0
If we subtract 568 from 591, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 7:
71 goes into 230 3 times with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 7098.3
The remainder is 17 after subtracting 213 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 8:
71 can be fit into 170 2 times, resulting in a remainder of 28.
The next digit of our result is 2. 
Result so far: 7098.32
Deduct 142 from 170 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 9:
280 divided by 71 is 3 with a remainder of 67.
The next digit of our result is 3. 
Result so far: 7098.323
Subtracting 213 from 280 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Going ahead to step 10:
71 goes into 670 9 times with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 7098.3239
If we take 639 away from 670, we end up 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.

Advancing to step 11:
When dividing 310 by 71, we get 4 with a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 7098.32394
If we take 284 away from 310, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 12:
260 divided by 71 is 3 with a remainder of 47.
The next digit of our result is 3. 
Result so far: 7098.323943
If we take 213 away from 260, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 13:
The number 71 fits into 470 6 times, leaving a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 7098.3239436
If we subtract 426 from 470, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 14:
If we divide 440 by 71, we get 6 and a remainder of 14.
The next digit of our result is 6. 
Result so far: 7098.32394366
The remainder is 14 after subtracting 426 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 7098.32394366 with a remaining 1.4e-08.