We divide 419114 by 40
We want to divide 419114 by 40.

Going ahead to step 1:
When dividing 4 by 40, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 40

Let's proceed to step 2:
The number 40 fits into 41 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 40 from 41 to get 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 40

Let's proceed to step 3:
40 goes into 19 0 times with a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 19, we get 19.
Include the next digit (1) from the dividend after 19, then repeat: 191 / 40

On to step 4:
40 can be fit into 191 4 times, resulting in a remainder of 31.
Put 4 as the next digit of the answer. 
Result so far: 104.0
If we subtract 160 from 191, we get 31.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 40

Going ahead to step 5:
311 divided by 40 is 7 with a remainder of 31.
Write down 7 as next digit of the result. 
Result so far: 1047.0
If we subtract 280 from 311, we get 31.
Fetch the next digit (4) from the dividend, attach it to 31 and continue: 314 / 40

On to step 6:
40 can be fit into 314 7 times, resulting in a remainder of 34.
Put 7 as the next digit of the answer. 
Result so far: 10477.0
If we subtract 280 from 314, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 7:
340 divided by 40 is 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 10477.8
Subtract 320 from 340 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
40 can be fit into 200 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 10477.85
The remainder is 0 after subtracting 200 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
40 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10477.85
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.

Step 10:
0 divided by 40 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10477.85
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.

In conclusion, the division gives 10477.85 with a balance of 0.0.