We look at the division of 123278 by 15 
We want to figure out the number of times 123278 can be divided by 15.

On to step 1:
1 divided by 15 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 15

Going ahead to step 2:
When dividing 12 by 15, we get 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 15

Advancing to step 3:
If we divide 123 by 15, we get 8 and a remainder of 3.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 120 from 123 leaves us with 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 15

Advancing to step 4:
The number 15 fits into 32 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 82.0
If we take 30 away from 32, we end up with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 15

Let's proceed to step 5:
If we divide 27 by 15, we get 1 and a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 821.0
If we take 15 away from 27, we end up with 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 15

Going ahead to step 6:
The number 15 fits into 128 8 times, leaving a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 8218.0
The remainder is 8 after subtracting 120 from 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
When dividing 80 by 15, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 8218.5
If we take 75 away from 80, 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.

Let's proceed to step 8:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 8218.53
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.

On to step 9:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 8218.533
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.

The quotient of the division is 8218.533, and the remainder is 0.0005.