14825 ÷ 53 
Let's see how many times 53 fits into 14825.

Let's proceed to step 1:
1 divided by 53 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 53

Advancing to step 2:
The number 53 fits into 14 0 times, leaving a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 14 after subtracting 0 from 14.
Grab the next digit (8) from the dividend, add it to 14, then carry on: 148 / 53

Advancing to step 3:
The number 53 fits into 148 2 times, leaving a remainder of 42.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 106 from 148 and we're left with 42.
Grab the next digit (2) from the dividend, add it to 42, then carry on: 422 / 53

Step 4:
53 goes into 422 7 times with a remainder of 51.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
Subtract 371 from 422 to get 51.
Grab the next digit (5) from the dividend, add it to 51, then carry on: 515 / 53

Moving on to step 5:
515 divided by 53 is 9 with a remainder of 38.
Write down 9 as next digit of the result. 
Result so far: 279.0
Subtracting 477 from 515 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 6:
The number 53 fits into 380 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 279.7
If we subtract 371 from 380, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 7:
90 divided by 53 is 1 with a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 279.71
Deduct 53 from 90 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 8:
53 can be fit into 370 6 times, resulting in a remainder of 52.
The next digit of our result is 6. 
Result so far: 279.716
Subtract 318 from 370 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 9:
When dividing 520 by 53, we get 9 with a remainder of 43.
Record the quotient 9 as the next digit in the result. 
Result so far: 279.7169
If we subtract 477 from 520, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 10:
430 divided by 53 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 279.71698
The remainder is 6 after subtracting 424 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 11:
The number 53 fits into 60 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 279.716981
Subtracting 53 from 60 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
70 divided by 53 is 1 with a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 279.7169811
Subtract 53 from 70 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The quotient of the division is 279.7169811, and the remainder is 1.7e-07.