Let's divide 144662 by 13
Our goal is to divide 144662 by 13.

Going ahead to step 1:
The number 13 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 13

On to step 2:
If we divide 14 by 13, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 13 from 14, we get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 13

Advancing to step 3:
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: 11.0
If we take 13 away from 14, we end up with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 13

On to step 4:
13 can be fit into 16 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 111.0
Subtracting 13 from 16 leaves us with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 13

Advancing to step 5:
13 can be fit into 36 2 times, resulting in a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 1112.0
Subtract 26 from 36 to get 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 13

Advancing to step 6:
13 can be fit into 102 7 times, resulting in a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 11127.0
If we take 91 away from 102, 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.

Advancing to step 7:
110 divided by 13 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 11127.8
Subtracting 104 from 110 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.

Advancing to step 8:
If we divide 60 by 13, we get 4 and a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 11127.84
Subtracting 52 from 60 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.

Step 9:
If we divide 80 by 13, we get 6 and a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 11127.846
Subtract 78 from 80 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.

Moving on to step 10:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 11127.8461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
13 can be fit into 70 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 11127.84615
Deduct 65 from 70 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
If we divide 50 by 13, we get 3 and a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 11127.846153
If we take 39 away from 50, 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.

Let's proceed to step 13:
13 goes into 110 8 times with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 11127.8461538
Deduct 104 from 110 and we're left 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.

Moving on to step 14:
When dividing 60 by 13, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 11127.84615384
Subtract 52 from 60 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.

After the division, we end up with 11127.84615384 and a remainder of 8e-09.