We look at the division of 710277 by 41 
We're looking to find how many times 41 goes into 710277.

Moving on to step 1:
When dividing 7 by 41, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 41

Advancing to step 2:
71 divided by 41 is 1 with a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 41 from 71 to get 30.
Bring next digit (0) of the dividend behind the 30 and repeat the process: 300 / 41

Going ahead to step 3:
The number 41 fits into 300 7 times, leaving a remainder of 13.
The next digit of our result is 7. 
Result so far: 17.0
If we subtract 287 from 300, we get 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 41

Step 4:
41 goes into 132 3 times with a remainder of 9.
The next digit of our result is 3. 
Result so far: 173.0
If we subtract 123 from 132, we get 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 41

Advancing to step 5:
41 goes into 97 2 times with a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 1732.0
Subtracting 82 from 97 leaves us with 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 41

Moving on to step 6:
41 goes into 157 3 times with a remainder of 34.
The next digit of our result is 3. 
Result so far: 17323.0
The remainder is 34 after subtracting 123 from 157.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 7:
41 can be fit into 340 8 times, resulting in a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 17323.8
Subtracting 328 from 340 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 8:
41 goes into 120 2 times with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 17323.82
Subtract 82 from 120 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 9:
380 divided by 41 is 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 17323.829
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 10:
110 divided by 41 is 2 with a remainder of 28.
The next digit of our result is 2. 
Result so far: 17323.8292
If we subtract 82 from 110, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
When dividing 280 by 41, we get 6 with a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 17323.82926
If we take 246 away from 280, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 12:
41 goes into 340 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 17323.829268
Subtracting 328 from 340 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
120 divided by 41 is 2 with a remainder of 38.
The next digit of our result is 2. 
Result so far: 17323.8292682
The remainder is 38 after subtracting 82 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 14:
41 can be fit into 380 9 times, resulting in a remainder of 11.
The next digit of our result is 9. 
Result so far: 17323.82926829
If we subtract 369 from 380, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 17323.82926829 and a remainder of 1.1e-08.