We divide 634607 by 15
We want to divide 634607 by 15.

Step 1:
15 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 15

On to step 2:
When dividing 63 by 15, we get 4 with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 3 after subtracting 60 from 63.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 15

Going ahead to step 3:
15 goes into 34 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
If we take 30 away from 34, we end up with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 15

Going ahead to step 4:
15 goes into 46 3 times with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 423.0
If we subtract 45 from 46, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 15

Step 5:
The number 15 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 4230.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 15

Step 6:
When dividing 107 by 15, we get 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 42307.0
If we take 105 away from 107, we end up 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 7:
15 goes into 20 1 times with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 42307.1
Subtracting 15 from 20 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.

Let's proceed to step 8:
50 divided by 15 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 42307.13
If we subtract 45 from 50, we get 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 9:
When dividing 50 by 15, we get 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 42307.133
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.

In conclusion, the division gives 42307.133 with a balance of 0.0005.