156946 ÷ 15 
Let's see how many times 15 fits into 156946.

Let's proceed to step 1:
If we divide 1 by 15, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 15

Going ahead to step 2:
The number 15 fits into 15 1 times, leaving a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 15 from 15 to get 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 15

Moving on to step 3:
15 can be fit into 6 0 times, resulting in a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 6, we end up with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 15

Let's proceed to step 4:
If we divide 69 by 15, we get 4 and a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 104.0
Subtract 60 from 69 to get 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 15

Advancing to step 5:
94 divided by 15 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 1046.0
If we subtract 90 from 94, we get 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 15

Let's proceed to step 6:
46 divided by 15 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 10463.0
If we subtract 45 from 46, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
10 divided by 15 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 10463.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 10463.06
Subtracting 90 from 100 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 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 10463.066
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.

In conclusion, the division gives 10463.066 with a balance of 0.001.