We look at the division of 437975 by 14 
Our goal is to divide 437975 by 14.

Let's proceed to step 1:
14 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 14

On to step 2:
14 goes into 43 3 times with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 1 after subtracting 42 from 43.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 14

Going ahead to step 3:
14 can be fit into 17 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 31.0
Deduct 14 from 17 and we're left with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 14

Going ahead to step 4:
The number 14 fits into 39 2 times, leaving a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 312.0
If we subtract 28 from 39, we get 11.
Take the next digit (7) from the dividend and append it to 11, then repeat: 117 / 14

Let's proceed to step 5:
14 goes into 117 8 times with a remainder of 5.
The next digit of our result is 8. 
Result so far: 3128.0
Subtract 112 from 117 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 14

On to step 6:
When dividing 55 by 14, we get 3 with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 31283.0
Subtract 42 from 55 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
The number 14 fits into 130 9 times, leaving a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 31283.9
Subtract 126 from 130 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
14 goes into 40 2 times with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 31283.92
Deduct 28 from 40 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
14 goes into 120 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 31283.928
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 10:
80 divided by 14 is 5 with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 31283.9285
If we subtract 70 from 80, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 11:
The number 14 fits into 100 7 times, leaving a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 31283.92857
If we take 98 away from 100, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
14 can be fit into 20 1 times, resulting in a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 31283.928571
If we take 14 away from 20, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
The number 14 fits into 60 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 31283.9285714
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
If we divide 40 by 14, we get 2 and a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 31283.92857142
If we subtract 28 from 40, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

In conclusion, the division gives 31283.92857142 with a balance of 1.2e-08.