317474 ÷ 41 
Our goal is to divide 317474 by 41.

On to step 1:
When dividing 3 by 41, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 41

Moving on to step 2:
31 divided by 41 is 0 with a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Grab the next digit (7) from the dividend, add it to 31, then carry on: 317 / 41

Moving on to step 3:
317 divided by 41 is 7 with a remainder of 30.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 287 from 317 leaves us with 30.
Bring next digit (4) of the dividend behind the 30 and repeat the process: 304 / 41

Let's proceed to step 4:
When dividing 304 by 41, we get 7 with a remainder of 17.
The next digit of our result is 7. 
Result so far: 77.0
Deduct 287 from 304 and we're left with 17.
Take the next digit (7) from the dividend and append it to 17, then repeat: 177 / 41

Let's proceed to step 5:
The number 41 fits into 177 4 times, leaving a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 774.0
If we take 164 away from 177, we end up with 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 41

On to step 6:
41 goes into 134 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 7743.0
If we subtract 123 from 134, 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.

On to step 7:
110 divided by 41 is 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 7743.2
Deduct 82 from 110 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 8:
280 divided by 41 is 6 with a remainder of 34.
Put 6 as the next digit of the answer. 
Result so far: 7743.26
Deduct 246 from 280 and we're left 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.

Step 9:
41 goes into 340 8 times with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 7743.268
If we subtract 328 from 340, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
When dividing 120 by 41, we get 2 with a remainder of 38.
Write down 2 as next digit of the result. 
Result so far: 7743.2682
Subtracting 82 from 120 leaves us with 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 11:
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: 7743.26829
Deduct 369 from 380 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 12:
When dividing 110 by 41, we get 2 with a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 7743.268292
Subtract 82 from 110 to 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.

Advancing to step 13:
The number 41 fits into 280 6 times, leaving a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 7743.2682926
Deduct 246 from 280 and we're left 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.

Moving on to step 14:
The number 41 fits into 340 8 times, leaving a remainder of 12.
The next digit of our result is 8. 
Result so far: 7743.26829268
If we subtract 328 from 340, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 7743.26829268 with a balance of 1.2e-08.