We look at the division of 144335 by 23 
Our goal is to divide 144335 by 23.

Moving on to step 1:
23 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 23

Step 2:
The number 23 fits into 14 0 times, leaving a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 14 and we're left with 14.
Take the next digit (4) from the dividend and append it to 14, then repeat: 144 / 23

Advancing to step 3:
23 goes into 144 6 times with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 138 from 144, we get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 23

On to step 4:
23 goes into 63 2 times with a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 62.0
Subtracting 46 from 63 leaves us with 17.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 23

Going ahead to step 5:
The number 23 fits into 173 7 times, leaving a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 627.0
If we take 161 away from 173, we end up with 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 23

Advancing to step 6:
23 can be fit into 125 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 6275.0
Subtracting 115 from 125 leaves us 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.

Going ahead to step 7:
23 goes into 100 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 6275.4
Deduct 92 from 100 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.

On to step 8:
The number 23 fits into 80 3 times, leaving a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 6275.43
Deduct 69 from 80 and we're left 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.

On to step 9:
23 goes into 110 4 times with a remainder of 18.
Record the quotient 4 as the next digit in the result. 
Result so far: 6275.434
Subtracting 92 from 110 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 10:
The number 23 fits into 180 7 times, leaving a remainder of 19.
The number 7 becomes the next digit in our result. 
Result so far: 6275.4347
Deduct 161 from 180 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 11:
23 can be fit into 190 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 6275.43478
Subtracting 184 from 190 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.

Going ahead to step 12:
If we divide 60 by 23, we get 2 and a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 6275.434782
Deduct 46 from 60 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 13:
If we divide 140 by 23, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 6275.4347826
Deduct 138 from 140 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 14:
If we divide 20 by 23, we get 0 and a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 6275.4347826
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 6275.4347826, and the remainder is 2e-08.