We look at the division of 174865 by 51 
We're looking to find how many times 51 goes into 174865.

Let's proceed to step 1:
When dividing 1 by 51, 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.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 51

Let's proceed to step 2:
The number 51 fits into 17 0 times, leaving a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Include the next digit (4) from the dividend after 17, then repeat: 174 / 51

Advancing to step 3:
The number 51 fits into 174 3 times, leaving a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 153 from 174, we get 21.
Include the next digit (8) from the dividend after 21, then repeat: 218 / 51

Moving on to step 4:
When dividing 218 by 51, we get 4 with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 34.0
The remainder is 14 after subtracting 204 from 218.
Bring next digit (6) of the dividend behind the 14 and repeat the process: 146 / 51

On to step 5:
146 divided by 51 is 2 with a remainder of 44.
Record the quotient 2 as the next digit in the result. 
Result so far: 342.0
If we take 102 away from 146, we end up with 44.
Grab the next digit (5) from the dividend, add it to 44, then carry on: 445 / 51

Moving on to step 6:
51 can be fit into 445 8 times, resulting in a remainder of 37.
The next digit of our result is 8. 
Result so far: 3428.0
Subtracting 408 from 445 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 7:
51 goes into 370 7 times with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 3428.7
If we subtract 357 from 370, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 8:
The number 51 fits into 130 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 3428.72
Subtracting 102 from 130 leaves us 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.

On to step 9:
The number 51 fits into 280 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 3428.725
Deduct 255 from 280 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
The number 51 fits into 250 4 times, leaving a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 3428.7254
If we subtract 204 from 250, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 11:
When dividing 460 by 51, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 3428.72549
Subtract 459 from 460 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
51 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 3428.72549
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 13:
51 goes into 100 1 times with a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 3428.7254901
If we subtract 51 from 100, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 14:
51 can be fit into 490 9 times, resulting in a remainder of 31.
The next digit of our result is 9. 
Result so far: 3428.72549019
Deduct 459 from 490 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The quotient of the division is 3428.72549019, and the remainder is 3.1e-08.