Let's divide 469088 by 15
We're looking to find how many times 15 goes into 469088.

On to step 1:
When dividing 4 by 15, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 15

On to step 2:
If we divide 46 by 15, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 45 from 46 and we're left with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 15

Step 3:
If we divide 19 by 15, we get 1 and a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 31.0
If we subtract 15 from 19, we get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 15

On to step 4:
40 divided by 15 is 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 312.0
If we take 30 away from 40, we end up with 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 15

Let's proceed to step 5:
When dividing 108 by 15, we get 7 with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 3127.0
Deduct 105 from 108 and we're left with 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 15

Step 6:
38 divided by 15 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 31272.0
Deduct 30 from 38 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.

Moving on to step 7:
The number 15 fits into 80 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 31272.5
Subtracting 75 from 80 leaves us 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.

Going ahead to step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 31272.53
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 9:
When dividing 50 by 15, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 31272.533
If we take 45 away from 50, we end up 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.

After the division, we end up with 31272.533 and a remainder of 0.0005.