We're dividing 465414 by 53 
We're looking to find how many times 53 goes into 465414.

Step 1:
53 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 53

Advancing to step 2:
46 divided by 53 is 0 with a remainder of 46.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 46, we end up with 46.
Append the next digit (5) from the dividend to 46 and continue with: 465 / 53

Step 3:
53 goes into 465 8 times with a remainder of 41.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 424 from 465 leaves us with 41.
Include the next digit (4) from the dividend after 41, then repeat: 414 / 53

On to step 4:
When dividing 414 by 53, we get 7 with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 87.0
The remainder is 43 after subtracting 371 from 414.
Bring next digit (1) of the dividend behind the 43 and repeat the process: 431 / 53

Moving on to step 5:
The number 53 fits into 431 8 times, leaving a remainder of 7.
The number 8 becomes the next digit in our result. 
Result so far: 878.0
Subtract 424 from 431 to get 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 53

Let's proceed to step 6:
74 divided by 53 is 1 with a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 8781.0
Deduct 53 from 74 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
If we divide 210 by 53, we get 3 and a remainder of 51.
Use 3 as the next digit of our solution. 
Result so far: 8781.3
Subtract 159 from 210 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 8:
510 divided by 53 is 9 with a remainder of 33.
Put 9 as the next digit of the answer. 
Result so far: 8781.39
If we subtract 477 from 510, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 9:
330 divided by 53 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 8781.396
Deduct 318 from 330 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
If we divide 120 by 53, we get 2 and a remainder of 14.
The next digit of our result is 2. 
Result so far: 8781.3962
Subtracting 106 from 120 leaves us 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.

Going ahead to step 11:
53 goes into 140 2 times with a remainder of 34.
Use 2 as the next digit of our solution. 
Result so far: 8781.39622
If we take 106 away from 140, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

In conclusion, the division gives 8781.39622 with a balance of 3.4e-05.