We're dividing 432217 by 41 
Our goal is to divide 432217 by 41.

Let's proceed to step 1:
41 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
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:
If we divide 43 by 41, we get 1 and a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 41 from 43 and we're left with 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 41

Step 3:
41 goes into 22 0 times with a remainder of 22.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we subtract 0 from 22, we get 22.
Append the next digit (2) from the dividend to 22 and continue with: 222 / 41

Step 4:
41 can be fit into 222 5 times, resulting in a remainder of 17.
Record the quotient 5 as the next digit in the result. 
Result so far: 105.0
Subtracting 205 from 222 leaves us with 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 41

Going ahead to step 5:
If we divide 171 by 41, we get 4 and a remainder of 7.
Put 4 as the next digit of the answer. 
Result so far: 1054.0
Subtract 164 from 171 to get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 41

Step 6:
If we divide 77 by 41, we get 1 and a remainder of 36.
The next digit of our result is 1. 
Result so far: 10541.0
If we take 41 away from 77, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 7:
If we divide 360 by 41, we get 8 and a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 10541.8
If we subtract 328 from 360, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 8:
320 divided by 41 is 7 with a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 10541.87
Subtract 287 from 320 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 9:
41 goes into 330 8 times with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 10541.878
Deduct 328 from 330 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
41 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 10541.878
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 11:
200 divided by 41 is 4 with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 10541.87804
If we take 164 away from 200, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 12:
360 divided by 41 is 8 with a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 10541.878048
The remainder is 32 after subtracting 328 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 13:
41 goes into 320 7 times with a remainder of 33.
The next digit of our result is 7. 
Result so far: 10541.8780487
Deduct 287 from 320 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 14:
41 goes into 330 8 times with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 10541.87804878
Subtract 328 from 330 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 10541.87804878 with a balance of 2e-09.