Let's divide 43679 by 14
We're looking to find how many times 14 goes into 43679.

Let's proceed to step 1:
4 divided by 14 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 14

On to step 2:
14 can be fit into 43 3 times, resulting in a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 42 from 43 and we're left with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 14

Step 3:
14 can be fit into 16 1 times, resulting in a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
Subtracting 14 from 16 leaves us with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 14

Advancing to step 4:
When dividing 27 by 14, we get 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 311.0
If we take 14 away from 27, we end up with 13.
Bring next digit (9) of the dividend behind the 13 and repeat the process: 139 / 14

Going ahead to step 5:
If we divide 139 by 14, we get 9 and a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 3119.0
Deduct 126 from 139 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 6:
The number 14 fits into 130 9 times, leaving a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 3119.9
Deduct 126 from 130 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
14 goes into 40 2 times with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 3119.92
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.

Advancing to step 8:
The number 14 fits into 120 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 3119.928
Deduct 112 from 120 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
14 can be fit into 80 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 3119.9285
The remainder is 10 after subtracting 70 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
If we divide 100 by 14, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 3119.92857
The remainder is 2 after subtracting 98 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
If we divide 20 by 14, we get 1 and a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 3119.928571
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
If we divide 60 by 14, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 3119.9285714
If we take 56 away from 60, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
40 divided by 14 is 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 3119.92857142
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.

Our division results in 3119.92857142 with a remaining 1.2e-08.