306264 divided by 53 
We're looking to find how many times 53 goes into 306264.

Step 1:
3 divided by 53 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 53

On to step 2:
53 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Bring next digit (6) of the dividend behind the 30 and repeat the process: 306 / 53

Let's proceed to step 3:
The number 53 fits into 306 5 times, leaving a remainder of 41.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 265 from 306, we get 41.
Include the next digit (2) from the dividend after 41, then repeat: 412 / 53

Let's proceed to step 4:
If we divide 412 by 53, we get 7 and a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 57.0
If we subtract 371 from 412, we get 41.
Append the next digit (6) from the dividend to 41 and continue with: 416 / 53

Advancing to step 5:
The number 53 fits into 416 7 times, leaving a remainder of 45.
Use 7 as the next digit of our solution. 
Result so far: 577.0
Subtract 371 from 416 to get 45.
Grab the next digit (4) from the dividend, add it to 45, then carry on: 454 / 53

Going ahead to step 6:
53 goes into 454 8 times with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 5778.0
Subtract 424 from 454 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 7:
300 divided by 53 is 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 5778.5
Deduct 265 from 300 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
53 goes into 350 6 times with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 5778.56
If we subtract 318 from 350, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 9:
If we divide 320 by 53, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 5778.566
If we subtract 318 from 320, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 5778.566, with a leftover of 0.0002.