666257 ÷ 51 
We want to figure out the number of times 666257 can be divided by 51.

Moving on to step 1:
When dividing 6 by 51, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 51

On to step 2:
If we divide 66 by 51, we get 1 and a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 15 after subtracting 51 from 66.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 51

Moving on to step 3:
If we divide 156 by 51, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we take 153 away from 156, we end up with 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 51

Let's proceed to step 4:
51 can be fit into 32 0 times, resulting in a remainder of 32.
Write down 0 as next digit of the result. 
Result so far: 130.0
The remainder is 32 after subtracting 0 from 32.
Fetch the next digit (5) from the dividend, attach it to 32 and continue: 325 / 51

Moving on to step 5:
If we divide 325 by 51, we get 6 and a remainder of 19.
Use 6 as the next digit of our solution. 
Result so far: 1306.0
The remainder is 19 after subtracting 306 from 325.
Include the next digit (7) from the dividend after 19, then repeat: 197 / 51

Advancing to step 6:
When dividing 197 by 51, we get 3 with a remainder of 44.
Record the quotient 3 as the next digit in the result. 
Result so far: 13063.0
If we subtract 153 from 197, we get 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 7:
The number 51 fits into 440 8 times, leaving a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 13063.8
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 8:
320 divided by 51 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 13063.86
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
140 divided by 51 is 2 with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 13063.862
Deduct 102 from 140 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 10:
If we divide 380 by 51, we get 7 and a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 13063.8627
If we subtract 357 from 380, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 11:
If we divide 230 by 51, we get 4 and a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 13063.86274
Subtract 204 from 230 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 12:
260 divided by 51 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 13063.862745
Subtracting 255 from 260 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
51 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 13063.862745
Deduct 0 from 50 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 14:
51 can be fit into 500 9 times, resulting in a remainder of 41.
Use 9 as the next digit of our solution. 
Result so far: 13063.86274509
If we subtract 459 from 500, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

In conclusion, the division gives 13063.86274509 with a balance of 4.1e-08.