We look at the division of 105459 by 53 
Let's see how many times 53 fits into 105459.

Advancing to step 1:
If we divide 1 by 53, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 53

Moving on to step 2:
If we divide 10 by 53, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 53

Advancing to step 3:
When dividing 105 by 53, we get 1 with a remainder of 52.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 53 from 105 and we're left with 52.
Take the next digit (4) from the dividend and append it to 52, then repeat: 524 / 53

Going ahead to step 4:
53 goes into 524 9 times with a remainder of 47.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
The remainder is 47 after subtracting 477 from 524.
Grab the next digit (5) from the dividend, add it to 47, then carry on: 475 / 53

Let's proceed to step 5:
53 can be fit into 475 8 times, resulting in a remainder of 51.
Record the quotient 8 as the next digit in the result. 
Result so far: 198.0
Subtracting 424 from 475 leaves us with 51.
Append the next digit (9) from the dividend to 51 and continue with: 519 / 53

Moving on to step 6:
519 divided by 53 is 9 with a remainder of 42.
Write down 9 as next digit of the result. 
Result so far: 1989.0
Subtracting 477 from 519 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 7:
If we divide 420 by 53, we get 7 and a remainder of 49.
Record the quotient 7 as the next digit in the result. 
Result so far: 1989.7
Subtract 371 from 420 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 8:
53 can be fit into 490 9 times, resulting in a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 1989.79
If we take 477 away from 490, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 9:
130 divided by 53 is 2 with a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 1989.792
Deduct 106 from 130 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
53 can be fit into 240 4 times, resulting in a remainder of 28.
Record the quotient 4 as the next digit in the result. 
Result so far: 1989.7924
The remainder is 28 after subtracting 212 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
When dividing 280 by 53, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 1989.79245
Subtract 265 from 280 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
53 goes into 150 2 times with a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 1989.792452
Deduct 106 from 150 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 13:
When dividing 440 by 53, we get 8 with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 1989.7924528
The remainder is 16 after subtracting 424 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
53 goes into 160 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 1989.79245283
Subtracting 159 from 160 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 1989.79245283, and the remainder is 1e-09.