We look at the division of 300826 by 53 
Our goal is to divide 300826 by 53.

Step 1:
The number 53 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 53

On to step 2:
53 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Fetch the next digit (0) from the dividend, attach it to 30 and continue: 300 / 53

Let's proceed to step 3:
If we divide 300 by 53, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 265 from 300 leaves us with 35.
Append the next digit (8) from the dividend to 35 and continue with: 358 / 53

Going ahead to step 4:
358 divided by 53 is 6 with a remainder of 40.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
The remainder is 40 after subtracting 318 from 358.
Bring next digit (2) of the dividend behind the 40 and repeat the process: 402 / 53

On to step 5:
When dividing 402 by 53, we get 7 with a remainder of 31.
The next digit of our result is 7. 
Result so far: 567.0
If we take 371 away from 402, we end up with 31.
Fetch the next digit (6) from the dividend, attach it to 31 and continue: 316 / 53

On to step 6:
53 can be fit into 316 5 times, resulting in a remainder of 51.
Record the quotient 5 as the next digit in the result. 
Result so far: 5675.0
If we take 265 away from 316, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

On to step 7:
When dividing 510 by 53, we get 9 with a remainder of 33.
Put 9 as the next digit of the answer. 
Result so far: 5675.9
If we subtract 477 from 510, we get 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 8:
The number 53 fits into 330 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 5675.96
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:
The number 53 fits into 120 2 times, leaving a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 5675.962
Subtract 106 from 120 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 10:
53 goes into 140 2 times with a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 5675.9622
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 5675.9622 with a remainder of 0.00034.