We look at the division of 141866 by 51 
We want to divide 141866 by 51.

Going ahead to step 1:
1 divided by 51 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 51

On to step 2:
If we divide 14 by 51, we get 0 and a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Fetch the next digit (1) from the dividend, attach it to 14 and continue: 141 / 51

Moving on to step 3:
The number 51 fits into 141 2 times, leaving a remainder of 39.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 102 away from 141, we end up with 39.
Append the next digit (8) from the dividend to 39 and continue with: 398 / 51

Let's proceed to step 4:
51 can be fit into 398 7 times, resulting in a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
If we take 357 away from 398, we end up with 41.
Include the next digit (6) from the dividend after 41, then repeat: 416 / 51

On to step 5:
51 goes into 416 8 times with a remainder of 8.
The next digit of our result is 8. 
Result so far: 278.0
Subtracting 408 from 416 leaves us with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 51

Step 6:
The number 51 fits into 86 1 times, leaving a remainder of 35.
The number 1 becomes the next digit in our result. 
Result so far: 2781.0
If we subtract 51 from 86, we get 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 7:
51 can be fit into 350 6 times, resulting in a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 2781.6
If we take 306 away from 350, we end up 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.

Let's proceed to step 8:
440 divided by 51 is 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 2781.68
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.

Step 9:
When dividing 320 by 51, we get 6 with a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 2781.686
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.

Let's proceed to step 10:
140 divided by 51 is 2 with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 2781.6862
The remainder is 38 after subtracting 102 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 11:
When dividing 380 by 51, we get 7 with a remainder of 23.
The next digit of our result is 7. 
Result so far: 2781.68627
Subtract 357 from 380 to 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.

Let's proceed to step 12:
51 goes into 230 4 times with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 2781.686274
Deduct 204 from 230 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 13:
When dividing 260 by 51, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 2781.6862745
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.

Going ahead to step 14:
51 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 2781.6862745
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 2781.6862745, and the remainder is 5e-08.