We're dividing 514563 by 61 
We want to divide 514563 by 61.

Going ahead to step 1:
The number 61 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 61

Moving on to step 2:
61 goes into 51 0 times with a remainder of 51.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 51 to get 51.
Bring next digit (4) of the dividend behind the 51 and repeat the process: 514 / 61

Going ahead to step 3:
61 can be fit into 514 8 times, resulting in a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 488 from 514 to get 26.
Grab the next digit (5) from the dividend, add it to 26, then carry on: 265 / 61

Going ahead to step 4:
265 divided by 61 is 4 with a remainder of 21.
The number 4 becomes the next digit in our result. 
Result so far: 84.0
Subtracting 244 from 265 leaves us with 21.
Take the next digit (6) from the dividend and append it to 21, then repeat: 216 / 61

On to step 5:
61 can be fit into 216 3 times, resulting in a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 843.0
Subtract 183 from 216 to get 33.
Take the next digit (3) from the dividend and append it to 33, then repeat: 333 / 61

Step 6:
333 divided by 61 is 5 with a remainder of 28.
The number 5 becomes the next digit in our result. 
Result so far: 8435.0
Deduct 305 from 333 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
When dividing 280 by 61, we get 4 with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 8435.4
Deduct 244 from 280 and we're left 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.

Going ahead to step 8:
The number 61 fits into 360 5 times, leaving a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 8435.45
Deduct 305 from 360 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 9:
If we divide 550 by 61, we get 9 and a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 8435.459
If we take 549 away from 550, we end up 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.

Moving on to step 10:
The number 61 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 8435.459
If we subtract 0 from 10, we get 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 11:
61 can be fit into 100 1 times, resulting in a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 8435.45901
If we subtract 61 from 100, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 12:
If we divide 390 by 61, we get 6 and a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 8435.459016
If we take 366 away from 390, we end up 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.

Going ahead to step 13:
61 goes into 240 3 times with a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 8435.4590163
Subtract 183 from 240 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 14:
When dividing 570 by 61, we get 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 8435.45901639
If we take 549 away from 570, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

After the division, we end up with 8435.45901639 and a remainder of 2.1e-08.