429849 ÷ 41 
Our goal is to divide 429849 by 41.

Advancing to step 1:
41 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 41

Step 2:
If we divide 42 by 41, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 41 away from 42, we end up with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 41

Let's proceed to step 3:
19 divided by 41 is 0 with a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 19, we end up with 19.
Grab the next digit (8) from the dividend, add it to 19, then carry on: 198 / 41

Moving on to step 4:
The number 41 fits into 198 4 times, leaving a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 104.0
The remainder is 34 after subtracting 164 from 198.
Bring next digit (4) of the dividend behind the 34 and repeat the process: 344 / 41

Let's proceed to step 5:
When dividing 344 by 41, we get 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 1048.0
Deduct 328 from 344 and we're left with 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 41

Step 6:
41 can be fit into 169 4 times, resulting in a remainder of 5.
The next digit of our result is 4. 
Result so far: 10484.0
The remainder is 5 after subtracting 164 from 169.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
The number 41 fits into 50 1 times, leaving a remainder of 9.
The next digit of our result is 1. 
Result so far: 10484.1
Subtracting 41 from 50 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
When dividing 90 by 41, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 10484.12
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
41 goes into 80 1 times with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 10484.121
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 10:
41 goes into 390 9 times with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 10484.1219
The remainder is 21 after subtracting 369 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 11:
210 divided by 41 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 10484.12195
If we subtract 205 from 210, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
50 divided by 41 is 1 with a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 10484.121951
Subtracting 41 from 50 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 13:
90 divided by 41 is 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 10484.1219512
Subtracting 82 from 90 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 14:
80 divided by 41 is 1 with a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 10484.12195121
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final outcome is 10484.12195121, with a leftover of 3.9e-08.