We look at the division of 406278 by 53 
Our goal is to divide 406278 by 53.

On to step 1:
53 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 53

Advancing to step 2:
If we divide 40 by 53, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Take the next digit (6) from the dividend and append it to 40, then repeat: 406 / 53

Going ahead to step 3:
When dividing 406 by 53, we get 7 with a remainder of 35.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 371 from 406, we get 35.
Take the next digit (2) from the dividend and append it to 35, then repeat: 352 / 53

Advancing to step 4:
352 divided by 53 is 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 76.0
Subtract 318 from 352 to get 34.
Fetch the next digit (7) from the dividend, attach it to 34 and continue: 347 / 53

Step 5:
The number 53 fits into 347 6 times, leaving a remainder of 29.
Write down 6 as next digit of the result. 
Result so far: 766.0
Subtracting 318 from 347 leaves us with 29.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 53

Step 6:
When dividing 298 by 53, we get 5 with a remainder of 33.
The number 5 becomes the next digit in our result. 
Result so far: 7665.0
Deduct 265 from 298 and we're left with 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 7:
When dividing 330 by 53, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 7665.6
Subtracting 318 from 330 leaves us 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.

Moving on to step 8:
53 can be fit into 120 2 times, resulting in a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 7665.62
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.

Let's proceed to step 9:
If we divide 140 by 53, we get 2 and a remainder of 34.
Record the quotient 2 as the next digit in the result. 
Result so far: 7665.622
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.

The quotient of the division is 7665.622, and the remainder is 0.0034.