We're dividing 413414 by 40 
Our goal is to divide 413414 by 40.

Moving on to step 1:
If we divide 4 by 40, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 40

Let's proceed to step 2:
40 can be fit into 41 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 40 from 41, we get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 40

Advancing to step 3:
13 divided by 40 is 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 13, we end up with 13.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 40

Going ahead to step 4:
40 goes into 134 3 times with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 103.0
Subtract 120 from 134 to get 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 40

On to step 5:
40 can be fit into 141 3 times, resulting in a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 1033.0
The remainder is 21 after subtracting 120 from 141.
Grab the next digit (4) from the dividend, add it to 21, then carry on: 214 / 40

Advancing to step 6:
If we divide 214 by 40, we get 5 and a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 10335.0
If we subtract 200 from 214, we 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.

Let's proceed to step 7:
40 can be fit into 140 3 times, resulting in a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 10335.3
If we take 120 away from 140, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
40 goes into 200 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 10335.35
Subtracting 200 from 200 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
0 divided by 40 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 10335.35
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 10:
When dividing 0 by 40, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 10335.35
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 10335.35 with a balance of 0.0.