Let's divide 144219 by 13
We want to divide 144219 by 13.

On to step 1:
When dividing 1 by 13, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 13

Moving on to step 2:
If we divide 14 by 13, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 13 from 14, we get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 13

Going ahead to step 3:
13 can be fit into 14 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Deduct 13 from 14 and we're left with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 13

Step 4:
The number 13 fits into 12 0 times, leaving a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 110.0
Deduct 0 from 12 and we're left with 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 13

Moving on to step 5:
When dividing 121 by 13, we get 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 1109.0
Subtract 117 from 121 to get 4.
Grab the next digit (9) from the dividend, add it to 4, then carry on: 49 / 13

Moving on to step 6:
49 divided by 13 is 3 with a remainder of 10.
The next digit of our result is 3. 
Result so far: 11093.0
Deduct 39 from 49 and we're left 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.

Advancing to step 7:
When dividing 100 by 13, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 11093.7
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 11093.76
If we take 78 away from 90, 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.

Advancing to step 9:
When dividing 120 by 13, we get 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 11093.769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
If we divide 30 by 13, we get 2 and a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 11093.7692
If we subtract 26 from 30, we 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 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 11093.76923
If we subtract 39 from 40, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 12:
13 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 11093.76923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
13 goes into 100 7 times with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 11093.7692307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 14:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 11093.76923076
If we take 78 away from 90, 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.

The quotient of the division is 11093.76923076, and the remainder is 1.2e-08.