106275 divided by 53 
We want to divide 106275 by 53.

Advancing to step 1:
53 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 53

Moving on to step 2:
When dividing 10 by 53, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 53

Advancing to step 3:
When dividing 106 by 53, we get 2 with a remainder of 0.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 106 from 106, we get 0.
Include the next digit (2) from the dividend after 0, then repeat: 2 / 53

On to step 4:
When dividing 2 by 53, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Subtracting 0 from 2 leaves us with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 53

On to step 5:
The number 53 fits into 27 0 times, leaving a remainder of 27.
Put 0 as the next digit of the answer. 
Result so far: 200.0
Deduct 0 from 27 and we're left with 27.
Append the next digit (5) from the dividend to 27 and continue with: 275 / 53

On to step 6:
If we divide 275 by 53, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 2005.0
The remainder is 10 after subtracting 265 from 275.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
The number 53 fits into 100 1 times, leaving a remainder of 47.
The number 1 becomes the next digit in our result. 
Result so far: 2005.1
If we take 53 away from 100, we end up 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.

Let's proceed to step 8:
When dividing 470 by 53, we get 8 with a remainder of 46.
Write down 8 as next digit of the result. 
Result so far: 2005.18
If we take 424 away from 470, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 9:
53 can be fit into 460 8 times, resulting in a remainder of 36.
Record the quotient 8 as the next digit in the result. 
Result so far: 2005.188
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 2005.188, and the remainder is 0.0036.