We're dividing 15035 by 23 
We want to divide 15035 by 23.

Advancing to step 1:
The number 23 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 23

On to step 2:
15 divided by 23 is 0 with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Grab the next digit (0) from the dividend, add it to 15, then carry on: 150 / 23

Moving on to step 3:
If we divide 150 by 23, we get 6 and a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtract 138 from 150 to get 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 23

Advancing to step 4:
When dividing 123 by 23, we get 5 with a remainder of 8.
The next digit of our result is 5. 
Result so far: 65.0
Subtract 115 from 123 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 23

Going ahead to step 5:
23 goes into 85 3 times with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 653.0
If we take 69 away from 85, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 6:
When dividing 160 by 23, we get 6 with a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 653.6
Subtract 138 from 160 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 7:
The number 23 fits into 220 9 times, leaving a remainder of 13.
Put 9 as the next digit of the answer. 
Result so far: 653.69
Subtracting 207 from 220 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 8:
If we divide 130 by 23, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 653.695
If we take 115 away from 130, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
If we divide 150 by 23, we get 6 and a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 653.6956
Deduct 138 from 150 and we're left 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.

Step 10:
The number 23 fits into 120 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 653.69565
Deduct 115 from 120 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.

Step 11:
The number 23 fits into 50 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 653.695652
Subtracting 46 from 50 leaves us with 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 12:
23 goes into 40 1 times with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 653.6956521
If we subtract 23 from 40, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 13:
170 divided by 23 is 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 653.69565217
If we take 161 away from 170, we end up 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.

After the division, we end up with 653.69565217 and a remainder of 9e-09.