We're dividing 429366 by 41 
Let's see how many times 41 fits into 429366.

Advancing to step 1:
When dividing 4 by 41, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 41

Step 2:
When dividing 42 by 41, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 41 away from 42, we end up with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 41

Step 3:
41 goes into 19 0 times with a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 10.0
Deduct 0 from 19 and we're left with 19.
Fetch the next digit (3) from the dividend, attach it to 19 and continue: 193 / 41

Step 4:
41 goes into 193 4 times with a remainder of 29.
Write down 4 as next digit of the result. 
Result so far: 104.0
Subtract 164 from 193 to get 29.
Append the next digit (6) from the dividend to 29 and continue with: 296 / 41

Going ahead to step 5:
If we divide 296 by 41, we get 7 and a remainder of 9.
The next digit of our result is 7. 
Result so far: 1047.0
Subtracting 287 from 296 leaves us with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 41

Advancing to step 6:
41 can be fit into 96 2 times, resulting in a remainder of 14.
The next digit of our result is 2. 
Result so far: 10472.0
Subtract 82 from 96 to 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 7:
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: 10472.3
If we subtract 123 from 140, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 8:
If we divide 170 by 41, we get 4 and a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 10472.34
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.

Moving on to step 9:
60 divided by 41 is 1 with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 10472.341
If we subtract 41 from 60, we 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.

Advancing to step 10:
190 divided by 41 is 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 10472.3414
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.

Going ahead to step 11:
41 goes into 260 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 10472.34146
Deduct 246 from 260 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
When dividing 140 by 41, we get 3 with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 10472.341463
If we subtract 123 from 140, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 13:
When dividing 170 by 41, we get 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 10472.3414634
If we take 164 away from 170, we end up 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 14:
The number 41 fits into 60 1 times, leaving a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 10472.34146341
If we subtract 41 from 60, we 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.

Our division results in 10472.34146341 with a remaining 1.9e-08.