We're dividing 419676 by 15 
We want to divide 419676 by 15.

On to step 1:
4 divided by 15 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 15

On to step 2:
When dividing 41 by 15, we get 2 with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 30 away from 41, we end up with 11.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 15

Going ahead to step 3:
When dividing 119 by 15, we get 7 with a remainder of 14.
The next digit of our result is 7. 
Result so far: 27.0
If we take 105 away from 119, we end up with 14.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 15

Step 4:
If we divide 146 by 15, we get 9 and a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 279.0
If we take 135 away from 146, we end up with 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 15

Advancing to step 5:
15 can be fit into 117 7 times, resulting in a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 2797.0
If we subtract 105 from 117, we get 12.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 15

On to step 6:
The number 15 fits into 126 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 27978.0
Deduct 120 from 126 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
When dividing 60 by 15, we get 4 with a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 27978.4
Deduct 60 from 60 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 8:
0 divided by 15 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 27978.4
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
15 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 27978.4
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 27978.4 and a remainder of 0.0.