We're dividing 421145 by 14 
We want to figure out the number of times 421145 can be divided by 14.

On to step 1:
When dividing 4 by 14, we get 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.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 14

Going ahead to step 2:
The number 14 fits into 42 3 times, leaving a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 42 from 42, we get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 14

Let's proceed to step 3:
14 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 30.0
Subtract 0 from 1 to get 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 14

Let's proceed to step 4:
When dividing 11 by 14, we get 0 with a remainder of 11.
The next digit of our result is 0. 
Result so far: 300.0
The remainder is 11 after subtracting 0 from 11.
Bring next digit (4) of the dividend behind the 11 and repeat the process: 114 / 14

On to step 5:
114 divided by 14 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 3008.0
Subtracting 112 from 114 leaves us with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 14

Moving on to step 6:
If we divide 25 by 14, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 30081.0
If we take 14 away from 25, we end up 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.

Moving on to step 7:
The number 14 fits into 110 7 times, leaving a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 30081.7
If we take 98 away from 110, we end up 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.

Moving on to step 8:
If we divide 120 by 14, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 30081.78
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.

Step 9:
14 goes into 80 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 30081.785
If we take 70 away from 80, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
100 divided by 14 is 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 30081.7857
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.

Let's proceed to step 11:
14 can be fit into 20 1 times, resulting in a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 30081.78571
Subtracting 14 from 20 leaves us 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.

On 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: 30081.785714
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.

Going ahead to step 13:
If we divide 40 by 14, we get 2 and a remainder of 12.
The next digit of our result is 2. 
Result so far: 30081.7857142
If we take 28 away from 40, we end up 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.

Going ahead to step 14:
120 divided by 14 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 30081.78571428
Subtracting 112 from 120 leaves us 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.

The quotient of the division is 30081.78571428, and the remainder is 8e-09.