105291 divided by 53 
Let's see how many times 53 fits into 105291.

On to step 1:
53 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 53

Let's proceed to step 2:
If we divide 10 by 53, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 53

Going ahead to step 3:
The number 53 fits into 105 1 times, leaving a remainder of 52.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 53 from 105 to get 52.
Append the next digit (2) from the dividend to 52 and continue with: 522 / 53

On to step 4:
If we divide 522 by 53, we get 9 and a remainder of 45.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtract 477 from 522 to get 45.
Append the next digit (9) from the dividend to 45 and continue with: 459 / 53

On to step 5:
When dividing 459 by 53, we get 8 with a remainder of 35.
Use 8 as the next digit of our solution. 
Result so far: 198.0
The remainder is 35 after subtracting 424 from 459.
Bring next digit (1) of the dividend behind the 35 and repeat the process: 351 / 53

Let's proceed to step 6:
The number 53 fits into 351 6 times, leaving a remainder of 33.
Put 6 as the next digit of the answer. 
Result so far: 1986.0
Subtracting 318 from 351 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
53 goes into 330 6 times with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 1986.6
The remainder is 12 after subtracting 318 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
120 divided by 53 is 2 with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 1986.62
Deduct 106 from 120 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
53 goes into 140 2 times with a remainder of 34.
The next digit of our result is 2. 
Result so far: 1986.622
If we take 106 away from 140, we end up with 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 outcome is 1986.622, with a leftover of 0.0034.