Let's divide 308825 by 53
Our goal is to divide 308825 by 53.

Step 1:
If we divide 3 by 53, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 53

On to step 2:
30 divided by 53 is 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 30 after subtracting 0 from 30.
Grab the next digit (8) from the dividend, add it to 30, then carry on: 308 / 53

Advancing to step 3:
308 divided by 53 is 5 with a remainder of 43.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 43 after subtracting 265 from 308.
Fetch the next digit (8) from the dividend, attach it to 43 and continue: 438 / 53

Step 4:
53 can be fit into 438 8 times, resulting in a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 58.0
Deduct 424 from 438 and we're left with 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 53

Step 5:
142 divided by 53 is 2 with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 582.0
Subtracting 106 from 142 leaves us with 36.
Grab the next digit (5) from the dividend, add it to 36, then carry on: 365 / 53

Going ahead to step 6:
When dividing 365 by 53, we get 6 with a remainder of 47.
Use 6 as the next digit of our solution. 
Result so far: 5826.0
Subtracting 318 from 365 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 7:
53 goes into 470 8 times with a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 5826.8
If we subtract 424 from 470, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 8:
The number 53 fits into 460 8 times, leaving a remainder of 36.
Put 8 as the next digit of the answer. 
Result so far: 5826.88
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.

The quotient of the division is 5826.88, and the remainder is 0.036.