We're dividing 476464 by 53 
We're looking to find how many times 53 goes into 476464.

On to step 1:
When dividing 4 by 53, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 53

Let's proceed to step 2:
When dividing 47 by 53, we get 0 with a remainder of 47.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 47 leaves us with 47.
Take the next digit (6) from the dividend and append it to 47, then repeat: 476 / 53

On to step 3:
53 can be fit into 476 8 times, resulting in a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtract 424 from 476 to get 52.
Append the next digit (4) from the dividend to 52 and continue with: 524 / 53

Advancing to step 4:
53 goes into 524 9 times with a remainder of 47.
Put 9 as the next digit of the answer. 
Result so far: 89.0
Subtract 477 from 524 to get 47.
Bring next digit (6) of the dividend behind the 47 and repeat the process: 476 / 53

Step 5:
If we divide 476 by 53, we get 8 and a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 898.0
Subtracting 424 from 476 leaves us with 52.
Include the next digit (4) from the dividend after 52, then repeat: 524 / 53

Let's proceed to step 6:
53 can be fit into 524 9 times, resulting in a remainder of 47.
The number 9 becomes the next digit in our result. 
Result so far: 8989.0
The remainder is 47 after subtracting 477 from 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
The number 53 fits into 470 8 times, leaving a remainder of 46.
Write down 8 as next digit of the result. 
Result so far: 8989.8
The remainder is 46 after subtracting 424 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 8:
53 goes into 460 8 times with a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 8989.88
Subtract 424 from 460 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 8989.88 with a remaining 0.036.