We're dividing 354007 by 15 
Let's see how many times 15 fits into 354007.

Going ahead to step 1:
3 divided by 15 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 15

On to step 2:
If we divide 35 by 15, we get 2 and a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 30 from 35 and we're left with 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 15

Step 3:
If we divide 54 by 15, we get 3 and a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 23.0
Subtracting 45 from 54 leaves us with 9.
Take the next digit (0) from the dividend and append it to 9, then repeat: 90 / 15

Let's proceed to step 4:
If we divide 90 by 15, we get 6 and a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 236.0
Subtract 90 from 90 to get 0.
Include the next digit (0) from the dividend after 0, then repeat: 0 / 15

Advancing to step 5:
If we divide 0 by 15, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 2360.0
If we subtract 0 from 0, we get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 15

Step 6:
When dividing 7 by 15, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 23600.0
Subtracting 0 from 7 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
The number 15 fits into 70 4 times, leaving a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 23600.4
Deduct 60 from 70 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 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 23600.46
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 23600.466
If we take 90 away from 100, we end up 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.

Our division results in 23600.466 with a remaining 0.001.