126527 ÷ 53 
We want to figure out the number of times 126527 can be divided by 53.

Let's proceed to step 1:
The number 53 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 53

Moving on to step 2:
When dividing 12 by 53, we get 0 with a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 53

Going ahead to step 3:
When dividing 126 by 53, we get 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 106 from 126 leaves us with 20.
Fetch the next digit (5) from the dividend, attach it to 20 and continue: 205 / 53

Step 4:
When dividing 205 by 53, we get 3 with a remainder of 46.
The next digit of our result is 3. 
Result so far: 23.0
Subtract 159 from 205 to get 46.
Append the next digit (2) from the dividend to 46 and continue with: 462 / 53

On to step 5:
462 divided by 53 is 8 with a remainder of 38.
Put 8 as the next digit of the answer. 
Result so far: 238.0
Subtract 424 from 462 to get 38.
Append the next digit (7) from the dividend to 38 and continue with: 387 / 53

Step 6:
387 divided by 53 is 7 with a remainder of 16.
Write down 7 as next digit of the result. 
Result so far: 2387.0
Subtracting 371 from 387 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
When dividing 160 by 53, we get 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 2387.3
If we subtract 159 from 160, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 8:
53 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 2387.3
Deduct 0 from 10 and we're left with 10.
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 9:
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: 2387.301
If we subtract 53 from 100, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 10:
470 divided by 53 is 8 with a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 2387.3018
Subtract 424 from 470 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 11:
53 can be fit into 460 8 times, resulting in a remainder of 36.
The next digit of our result is 8. 
Result so far: 2387.30188
Subtracting 424 from 460 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

In conclusion, the division gives 2387.30188 with a balance of 3.6e-05.