We're dividing 514461 by 53 
We're looking to find how many times 53 goes into 514461.

Step 1:
The number 53 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 53

Moving on to step 2:
53 goes into 51 0 times with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Include the next digit (4) from the dividend after 51, then repeat: 514 / 53

Step 3:
The number 53 fits into 514 9 times, leaving a remainder of 37.
The next digit of our result is 9. 
Result so far: 9.0
If we take 477 away from 514, we end up with 37.
Fetch the next digit (4) from the dividend, attach it to 37 and continue: 374 / 53

Moving on to step 4:
When dividing 374 by 53, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 97.0
Subtract 371 from 374 to get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 53

Going ahead to step 5:
53 goes into 36 0 times with a remainder of 36.
Put 0 as the next digit of the answer. 
Result so far: 970.0
If we take 0 away from 36, we end up with 36.
Append the next digit (1) from the dividend to 36 and continue with: 361 / 53

Step 6:
361 divided by 53 is 6 with a remainder of 43.
Record the quotient 6 as the next digit in the result. 
Result so far: 9706.0
If we subtract 318 from 361, we 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.

On to step 7:
53 goes into 430 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 9706.8
If we take 424 away from 430, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
When dividing 60 by 53, we get 1 with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 9706.81
If we subtract 53 from 60, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 9:
If we divide 70 by 53, we get 1 and a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 9706.811
If we take 53 away from 70, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The quotient of the division is 9706.811, and the remainder is 0.0017.