We look at the division of 340576 by 53 
We're looking to find how many times 53 goes into 340576.

Advancing to step 1:
If we divide 3 by 53, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 53

Let's proceed to step 2:
The number 53 fits into 34 0 times, leaving a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Take the next digit (0) from the dividend and append it to 34, then repeat: 340 / 53

Moving on to step 3:
53 can be fit into 340 6 times, resulting in a remainder of 22.
The next digit of our result is 6. 
Result so far: 6.0
If we take 318 away from 340, we end up with 22.
Fetch the next digit (5) from the dividend, attach it to 22 and continue: 225 / 53

Step 4:
53 can be fit into 225 4 times, resulting in a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 64.0
The remainder is 13 after subtracting 212 from 225.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 53

Advancing to step 5:
When dividing 137 by 53, we get 2 with a remainder of 31.
The number 2 becomes the next digit in our result. 
Result so far: 642.0
Subtract 106 from 137 to get 31.
Append the next digit (6) from the dividend to 31 and continue with: 316 / 53

Step 6:
53 can be fit into 316 5 times, resulting in a remainder of 51.
Put 5 as the next digit of the answer. 
Result so far: 6425.0
Subtract 265 from 316 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.

Step 7:
510 divided by 53 is 9 with a remainder of 33.
Record the quotient 9 as the next digit in the result. 
Result so far: 6425.9
The remainder is 33 after subtracting 477 from 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 8:
When dividing 330 by 53, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 6425.96
If we subtract 318 from 330, we get 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 9:
120 divided by 53 is 2 with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 6425.962
The remainder is 14 after subtracting 106 from 120.
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 10:
The number 53 fits into 140 2 times, leaving a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 6425.9622
If we subtract 106 from 140, 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.

The final result is 6425.9622 with a remainder of 0.00034.