342784 divided by 53 
Our goal is to divide 342784 by 53.

Moving on 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
If we subtract 0 from 3, we get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 53

Advancing 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
If we take 0 away from 34, we end up with 34.
Append the next digit (2) from the dividend to 34 and continue with: 342 / 53

Advancing to step 3:
342 divided by 53 is 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 318 away from 342, we end up with 24.
Bring next digit (7) of the dividend behind the 24 and repeat the process: 247 / 53

Moving on to step 4:
The number 53 fits into 247 4 times, leaving a remainder of 35.
The next digit of our result is 4. 
Result so far: 64.0
Deduct 212 from 247 and we're left with 35.
Grab the next digit (8) from the dividend, add it to 35, then carry on: 358 / 53

On to step 5:
358 divided by 53 is 6 with a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 646.0
If we take 318 away from 358, we end up with 40.
Grab the next digit (4) from the dividend, add it to 40, then carry on: 404 / 53

Step 6:
When dividing 404 by 53, we get 7 with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 6467.0
Subtracting 371 from 404 leaves us 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.

Moving on to step 7:
If we divide 330 by 53, we get 6 and a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 6467.6
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.

Let's proceed to step 8:
53 can be fit into 120 2 times, resulting in a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 6467.62
If we take 106 away from 120, we end up 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.

Moving on to step 9:
The number 53 fits into 140 2 times, leaving a remainder of 34.
The next digit of our result is 2. 
Result so far: 6467.622
The remainder is 34 after subtracting 106 from 140.
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 6467.622 with a balance of 0.0034.