We look at the division of 406677 by 52 
We want to divide 406677 by 52.

Step 1:
52 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 52

Going ahead to step 2:
The number 52 fits into 40 0 times, leaving a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 40, we get 40.
Grab the next digit (6) from the dividend, add it to 40, then carry on: 406 / 52

Advancing to step 3:
52 goes into 406 7 times with a remainder of 42.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 364 from 406 and we're left with 42.
Grab the next digit (6) from the dividend, add it to 42, then carry on: 426 / 52

Advancing to step 4:
426 divided by 52 is 8 with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 78.0
Deduct 416 from 426 and we're left with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 52

Step 5:
107 divided by 52 is 2 with a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 782.0
The remainder is 3 after subtracting 104 from 107.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 52

Step 6:
The number 52 fits into 37 0 times, leaving a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 7820.0
Subtract 0 from 37 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 7:
52 can be fit into 370 7 times, resulting in a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 7820.7
If we take 364 away from 370, we end up with 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 8:
52 goes into 60 1 times with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 7820.71
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
52 goes into 80 1 times with a remainder of 28.
The next digit of our result is 1. 
Result so far: 7820.711
Deduct 52 from 80 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

In conclusion, the division gives 7820.711 with a balance of 0.0028.