We look at the division of 14563 by 61 
We're looking to find how many times 61 goes into 14563.

Moving on to step 1:
If we divide 1 by 61, we get 0 and 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.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 61

Advancing to step 2:
If we divide 14 by 61, we get 0 and a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 61

Going ahead to step 3:
61 goes into 145 2 times with a remainder of 23.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 23 after subtracting 122 from 145.
Bring next digit (6) of the dividend behind the 23 and repeat the process: 236 / 61

Advancing to step 4:
61 can be fit into 236 3 times, resulting in a remainder of 53.
Write down 3 as next digit of the result. 
Result so far: 23.0
Subtracting 183 from 236 leaves us with 53.
Take the next digit (3) from the dividend and append it to 53, then repeat: 533 / 61

Step 5:
61 goes into 533 8 times with a remainder of 45.
Use 8 as the next digit of our solution. 
Result so far: 238.0
Subtracting 488 from 533 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 6:
The number 61 fits into 450 7 times, leaving a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 238.7
Subtract 427 from 450 to 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.

Advancing to step 7:
61 goes into 230 3 times with a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 238.73
The remainder is 47 after subtracting 183 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 8:
61 can be fit into 470 7 times, resulting in a remainder of 43.
The next digit of our result is 7. 
Result so far: 238.737
Subtract 427 from 470 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 9:
The number 61 fits into 430 7 times, leaving a remainder of 3.
The next digit of our result is 7. 
Result so far: 238.7377
If we take 427 away from 430, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

After the division, we end up with 238.7377 and a remainder of 3e-05.