665723 ÷ 51 
We're looking to find how many times 51 goes into 665723.

Going ahead to step 1:
6 divided by 51 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 51

Step 2:
When dividing 66 by 51, we get 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 15 after subtracting 51 from 66.
Fetch the next digit (5) from the dividend, attach it to 15 and continue: 155 / 51

Step 3:
If we divide 155 by 51, we get 3 and a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 153 from 155 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 51

On to step 4:
When dividing 27 by 51, we get 0 with a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 130.0
If we subtract 0 from 27, we get 27.
Grab the next digit (2) from the dividend, add it to 27, then carry on: 272 / 51

Moving on to step 5:
51 goes into 272 5 times with a remainder of 17.
Use 5 as the next digit of our solution. 
Result so far: 1305.0
The remainder is 17 after subtracting 255 from 272.
Take the next digit (3) from the dividend and append it to 17, then repeat: 173 / 51

Going ahead to step 6:
The number 51 fits into 173 3 times, leaving a remainder of 20.
The next digit of our result is 3. 
Result so far: 13053.0
Subtract 153 from 173 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
If we divide 200 by 51, we get 3 and a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 13053.3
Subtract 153 from 200 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 8:
When dividing 470 by 51, we get 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 13053.39
Subtracting 459 from 470 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 9:
The number 51 fits into 110 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 13053.392
If we subtract 102 from 110, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
51 goes into 80 1 times with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 13053.3921
If we subtract 51 from 80, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 11:
51 can be fit into 290 5 times, resulting in a remainder of 35.
The next digit of our result is 5. 
Result so far: 13053.39215
Deduct 255 from 290 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 12:
51 goes into 350 6 times with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 13053.392156
Deduct 306 from 350 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 13:
The number 51 fits into 440 8 times, leaving a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 13053.3921568
Subtract 408 from 440 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 14:
When dividing 320 by 51, we get 6 with a remainder of 14.
The next digit of our result is 6. 
Result so far: 13053.39215686
The remainder is 14 after subtracting 306 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 13053.39215686 and a remainder of 1.4e-08.