716533 ÷ 41 
Our goal is to divide 716533 by 41.

Advancing to step 1:
41 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 41

Going ahead to step 2:
The number 41 fits into 71 1 times, leaving a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 41 away from 71, we end up with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 41

On to step 3:
306 divided by 41 is 7 with a remainder of 19.
The next digit of our result is 7. 
Result so far: 17.0
Deduct 287 from 306 and we're left with 19.
Take the next digit (5) from the dividend and append it to 19, then repeat: 195 / 41

Step 4:
41 can be fit into 195 4 times, resulting in a remainder of 31.
Use 4 as the next digit of our solution. 
Result so far: 174.0
If we take 164 away from 195, we end up with 31.
Append the next digit (3) from the dividend to 31 and continue with: 313 / 41

Let's proceed to step 5:
41 goes into 313 7 times with a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 1747.0
Deduct 287 from 313 and we're left with 26.
Include the next digit (3) from the dividend after 26, then repeat: 263 / 41

On to step 6:
41 can be fit into 263 6 times, resulting in a remainder of 17.
The number 6 becomes the next digit in our result. 
Result so far: 17476.0
If we take 246 away from 263, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 7:
The number 41 fits into 170 4 times, leaving a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 17476.4
Subtracting 164 from 170 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 17476.41
If we take 41 away from 60, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 9:
The number 41 fits into 190 4 times, leaving a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 17476.414
Deduct 164 from 190 and we're left 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.

Let's proceed to step 10:
If we divide 260 by 41, we get 6 and a remainder of 14.
The next digit of our result is 6. 
Result so far: 17476.4146
If we subtract 246 from 260, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 11:
The number 41 fits into 140 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 17476.41463
Subtracting 123 from 140 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 12:
41 can be fit into 170 4 times, resulting in a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 17476.414634
Deduct 164 from 170 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 17476.4146341
Subtract 41 from 60 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 14:
The number 41 fits into 190 4 times, leaving a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 17476.41463414
The remainder is 26 after subtracting 164 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 17476.41463414 with a remainder of 2.6e-08.