105545 ÷ 53 
We want to figure out the number of times 105545 can be divided by 53.

Going ahead 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
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 53

On to step 2:
10 divided by 53 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 53

Advancing to step 3:
53 can be fit into 105 1 times, resulting in a remainder of 52.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 53 from 105 leaves us with 52.
Fetch the next digit (5) from the dividend, attach it to 52 and continue: 525 / 53

On to step 4:
When dividing 525 by 53, we get 9 with a remainder of 48.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
If we take 477 away from 525, we end up with 48.
Grab the next digit (4) from the dividend, add it to 48, then carry on: 484 / 53

On to step 5:
53 goes into 484 9 times with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 199.0
If we subtract 477 from 484, we get 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 53

Moving on to step 6:
The number 53 fits into 75 1 times, leaving a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1991.0
Subtracting 53 from 75 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 7:
53 can be fit into 220 4 times, resulting in a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 1991.4
Deduct 212 from 220 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 8:
53 can be fit into 80 1 times, resulting in a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 1991.41
Deduct 53 from 80 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 9:
270 divided by 53 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 1991.415
If we take 265 away from 270, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 10:
53 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 1991.415
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 11:
If we divide 500 by 53, we get 9 and a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 1991.41509
If we subtract 477 from 500, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 12:
If we divide 230 by 53, we get 4 and a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 1991.415094
Subtract 212 from 230 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 13:
The number 53 fits into 180 3 times, leaving a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 1991.4150943
The remainder is 21 after subtracting 159 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 14:
53 goes into 210 3 times with a remainder of 51.
Write down 3 as next digit of the result. 
Result so far: 1991.41509433
Subtracting 159 from 210 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The final result is 1991.41509433 with a remainder of 5.1e-08.