We look at the division of 4281431 by 514 
We want to figure out the number of times 4281431 can be divided by 514.

On to step 1:
The number 514 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 514

Advancing to step 2:
514 can be fit into 42 0 times, resulting in a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Append the next digit (8) from the dividend to 42 and continue with: 428 / 514

Going ahead to step 3:
428 divided by 514 is 0 with a remainder of 428.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 428 and we're left with 428.
Take the next digit (1) from the dividend and append it to 428, then repeat: 4281 / 514

On to step 4:
When dividing 4281 by 514, we get 8 with a remainder of 169.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 4112 from 4281, we get 169.
Append the next digit (4) from the dividend to 169 and continue with: 1694 / 514

Let's proceed to step 5:
1694 divided by 514 is 3 with a remainder of 152.
Write down 3 as next digit of the result. 
Result so far: 83.0
If we take 1542 away from 1694, we end up with 152.
Grab the next digit (3) from the dividend, add it to 152, then carry on: 1523 / 514

On to step 6:
514 goes into 1523 2 times with a remainder of 495.
The number 2 becomes the next digit in our result. 
Result so far: 832.0
Subtract 1028 from 1523 to get 495.
Fetch the next digit (1) from the dividend, attach it to 495 and continue: 4951 / 514

Let's proceed to step 7:
When dividing 4951 by 514, we get 9 with a remainder of 325.
The number 9 becomes the next digit in our result. 
Result so far: 8329.0
Subtract 4626 from 4951 to get 325.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3250, and continue the process.

Going ahead to step 8:
3250 divided by 514 is 6 with a remainder of 166.
Record the quotient 6 as the next digit in the result. 
Result so far: 8329.6
If we subtract 3084 from 3250, we get 166.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1660, and continue the process.

Let's proceed to step 9:
If we divide 1660 by 514, we get 3 and a remainder of 118.
Write down 3 as next digit of the result. 
Result so far: 8329.63
If we subtract 1542 from 1660, we get 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

Going ahead to step 10:
514 goes into 1180 2 times with a remainder of 152.
Use 2 as the next digit of our solution. 
Result so far: 8329.632
The remainder is 152 after subtracting 1028 from 1180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1520, and continue the process.

Advancing to step 11:
514 goes into 1520 2 times with a remainder of 492.
The number 2 becomes the next digit in our result. 
Result so far: 8329.6322
Subtracting 1028 from 1520 leaves us with 492.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

In conclusion, the division gives 8329.6322 with a balance of 0.00492.