Let's divide 11563 by 42
We're looking to find how many times 42 goes into 11563.

On to step 1:
When dividing 1 by 42, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 42

Step 2:
42 can be fit into 11 0 times, resulting in a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 42

Let's proceed to step 3:
If we divide 115 by 42, we get 2 and a remainder of 31.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 84 from 115 to get 31.
Include the next digit (6) from the dividend after 31, then repeat: 316 / 42

On to step 4:
When dividing 316 by 42, we get 7 with a remainder of 22.
Put 7 as the next digit of the answer. 
Result so far: 27.0
Deduct 294 from 316 and we're left with 22.
Append the next digit (3) from the dividend to 22 and continue with: 223 / 42

Let's proceed to step 5:
When dividing 223 by 42, we get 5 with a remainder of 13.
Record the quotient 5 as the next digit in the result. 
Result so far: 275.0
The remainder is 13 after subtracting 210 from 223.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 6:
When dividing 130 by 42, we get 3 with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 275.3
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
42 goes into 40 0 times with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 275.3
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
When dividing 400 by 42, we get 9 with a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 275.309
If we subtract 378 from 400, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 9:
When dividing 220 by 42, we get 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 275.3095
If we take 210 away from 220, we end up 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.

Let's proceed to step 10:
If we divide 100 by 42, we get 2 and a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 275.30952
Subtracting 84 from 100 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.

Step 11:
If we divide 160 by 42, we get 3 and a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 275.309523
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 12:
If we divide 340 by 42, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 275.3095238
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 13:
42 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 275.3095238
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 275.3095238 with a balance of 4e-08.