We're dividing 45819 by 14 
We're looking to find how many times 14 goes into 45819.

Let's proceed to step 1:
14 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (5) from the dividend, add it to 4, then carry on: 45 / 14

Moving on to step 2:
If we divide 45 by 14, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 42 from 45 to get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 14

On to step 3:
When dividing 38 by 14, we get 2 with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 32.0
Deduct 28 from 38 and we're left with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 14

Let's proceed to step 4:
14 can be fit into 101 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 327.0
Deduct 98 from 101 and we're left with 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 14

Step 5:
The number 14 fits into 39 2 times, leaving a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 3272.0
Subtracting 28 from 39 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 6:
When dividing 110 by 14, we get 7 with a remainder of 12.
The next digit of our result is 7. 
Result so far: 3272.7
Subtracting 98 from 110 leaves us 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 7:
If we divide 120 by 14, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 3272.78
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.

Advancing to step 8:
14 goes into 80 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 3272.785
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.

Going ahead to step 9:
14 goes into 100 7 times with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 3272.7857
Subtract 98 from 100 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 10:
14 can be fit into 20 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 3272.78571
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 3272.785714
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.

On to step 12:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 3272.7857142
Subtracting 28 from 40 leaves us 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.

On to step 13:
The number 14 fits into 120 8 times, leaving a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 3272.78571428
Subtract 112 from 120 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final result is 3272.78571428 with a remainder of 8e-09.