414378 ÷ 46 
Let's see how many times 46 fits into 414378.

On to step 1:
46 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 46

Moving on to step 2:
When dividing 41 by 46, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Take the next digit (4) from the dividend and append it to 41, then repeat: 414 / 46

On to step 3:
414 divided by 46 is 9 with a remainder of 0.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 414 from 414 to get 0.
Take the next digit (3) from the dividend and append it to 0, then repeat: 3 / 46

Going ahead to step 4:
When dividing 3 by 46, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 90.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 46

Moving on to step 5:
46 can be fit into 37 0 times, resulting in a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 900.0
Deduct 0 from 37 and we're left with 37.
Grab the next digit (8) from the dividend, add it to 37, then carry on: 378 / 46

Step 6:
The number 46 fits into 378 8 times, leaving a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 9008.0
Subtracting 368 from 378 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
100 divided by 46 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 9008.2
If we subtract 92 from 100, 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.

Moving on to step 8:
If we divide 80 by 46, we get 1 and a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 9008.21
If we subtract 46 from 80, 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.

Advancing to step 9:
340 divided by 46 is 7 with a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 9008.217
Subtracting 322 from 340 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 10:
The number 46 fits into 180 3 times, leaving a remainder of 42.
Put 3 as the next digit of the answer. 
Result so far: 9008.2173
Subtract 138 from 180 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 11:
46 can be fit into 420 9 times, resulting in a remainder of 6.
The next digit of our result is 9. 
Result so far: 9008.21739
Subtract 414 from 420 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
46 goes into 60 1 times with a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 9008.217391
The remainder is 14 after subtracting 46 from 60.
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 13:
The number 46 fits into 140 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 9008.2173913
Subtract 138 from 140 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.

Let's proceed to step 14:
46 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 9008.2173913
Subtract 0 from 20 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.

In conclusion, the division gives 9008.2173913 with a balance of 2e-08.