We divide 431291 by 41
We want to figure out the number of times 431291 can be divided by 41.

Step 1:
When dividing 4 by 41, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 41

Advancing to step 2:
41 can be fit into 43 1 times, resulting in a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 2 after subtracting 41 from 43.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 41

Let's proceed to step 3:
41 goes into 21 0 times with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 21 after subtracting 0 from 21.
Take the next digit (2) from the dividend and append it to 21, then repeat: 212 / 41

Let's proceed to step 4:
If we divide 212 by 41, we get 5 and a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 105.0
Subtracting 205 from 212 leaves us with 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 41

On to step 5:
When dividing 79 by 41, we get 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 1051.0
Subtracting 41 from 79 leaves us with 38.
Take the next digit (1) from the dividend and append it to 38, then repeat: 381 / 41

Let's proceed to step 6:
41 can be fit into 381 9 times, resulting in a remainder of 12.
The next digit of our result is 9. 
Result so far: 10519.0
If we subtract 369 from 381, 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.

Advancing to step 7:
The number 41 fits into 120 2 times, leaving a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 10519.2
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.

Step 8:
380 divided by 41 is 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 10519.29
The remainder is 11 after subtracting 369 from 380.
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 9:
If we divide 110 by 41, we get 2 and a remainder of 28.
The next digit of our result is 2. 
Result so far: 10519.292
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.

Let's proceed to step 10:
280 divided by 41 is 6 with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 10519.2926
The remainder is 34 after subtracting 246 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
41 goes into 340 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 10519.29268
The remainder is 12 after subtracting 328 from 340.
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 12:
41 goes into 120 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 10519.292682
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.

Advancing to step 13:
If we divide 380 by 41, we get 9 and a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 10519.2926829
Subtract 369 from 380 to 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 14:
When dividing 110 by 41, we get 2 with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 10519.29268292
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.

After the division, we end up with 10519.29268292 and a remainder of 2.8e-08.