251719 ÷ 66 
Our goal is to divide 251719 by 66.

Going ahead to step 1:
2 divided by 66 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 66

On to step 2:
66 goes into 25 0 times with a remainder of 25.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 25 and we're left with 25.
Bring next digit (1) of the dividend behind the 25 and repeat the process: 251 / 66

Advancing to step 3:
If we divide 251 by 66, we get 3 and a remainder of 53.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 198 from 251 and we're left with 53.
Fetch the next digit (7) from the dividend, attach it to 53 and continue: 537 / 66

Advancing to step 4:
66 can be fit into 537 8 times, resulting in a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 38.0
If we take 528 away from 537, we end up with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 66

Going ahead to step 5:
91 divided by 66 is 1 with a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 381.0
If we subtract 66 from 91, we get 25.
Take the next digit (9) from the dividend and append it to 25, then repeat: 259 / 66

Moving on to step 6:
If we divide 259 by 66, we get 3 and a remainder of 61.
Use 3 as the next digit of our solution. 
Result so far: 3813.0
Subtracting 198 from 259 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 7:
If we divide 610 by 66, we get 9 and a remainder of 16.
Put 9 as the next digit of the answer. 
Result so far: 3813.9
Subtract 594 from 610 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 8:
When dividing 160 by 66, we get 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 3813.92
If we subtract 132 from 160, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 9:
If we divide 280 by 66, we get 4 and a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 3813.924
If we subtract 264 from 280, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 10:
If we divide 160 by 66, we get 2 and a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 3813.9242
If we subtract 132 from 160, we get 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 11:
The number 66 fits into 280 4 times, leaving a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 3813.92424
If we subtract 264 from 280, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 12:
The number 66 fits into 160 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 3813.924242
Subtract 132 from 160 to get 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 13:
66 can be fit into 280 4 times, resulting in a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 3813.9242424
The remainder is 16 after subtracting 264 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
66 can be fit into 160 2 times, resulting in a remainder of 28.
The next digit of our result is 2. 
Result so far: 3813.92424242
If we take 132 away from 160, we end up 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.

In conclusion, the division gives 3813.92424242 with a balance of 2.8e-08.