514314 ÷ 61 
We're looking to find how many times 61 goes into 514314.

Moving on to step 1:
If we divide 5 by 61, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 61

Moving on to step 2:
The number 61 fits into 51 0 times, leaving a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Include the next digit (4) from the dividend after 51, then repeat: 514 / 61

Moving on to step 3:
When dividing 514 by 61, we get 8 with a remainder of 26.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 488 away from 514, we end up with 26.
Fetch the next digit (3) from the dividend, attach it to 26 and continue: 263 / 61

Moving on to step 4:
263 divided by 61 is 4 with a remainder of 19.
Put 4 as the next digit of the answer. 
Result so far: 84.0
If we subtract 244 from 263, we get 19.
Grab the next digit (1) from the dividend, add it to 19, then carry on: 191 / 61

Going ahead to step 5:
When dividing 191 by 61, we get 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 843.0
The remainder is 8 after subtracting 183 from 191.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 61

Let's proceed to step 6:
61 can be fit into 84 1 times, resulting in a remainder of 23.
Use 1 as the next digit of our solution. 
Result so far: 8431.0
If we take 61 away from 84, we end up with 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:
If we divide 230 by 61, we get 3 and a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 8431.3
Subtracting 183 from 230 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on 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: 8431.37
If we take 427 away from 470, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 9:
61 goes into 430 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 8431.377
Subtracting 427 from 430 leaves us 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.

The quotient of the division is 8431.377, and the remainder is 0.0003.