We look at the division of 413077 by 15 
We want to figure out the number of times 413077 can be divided by 15.

Going ahead to step 1:
15 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 15

Moving on to step 2:
15 can be fit into 41 2 times, resulting in a remainder of 11.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 30 from 41 to get 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 15

Going ahead to step 3:
113 divided by 15 is 7 with a remainder of 8.
Put 7 as the next digit of the answer. 
Result so far: 27.0
Subtract 105 from 113 to get 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 15

Going ahead to step 4:
The number 15 fits into 80 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 275.0
If we take 75 away from 80, we end up with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 15

On to step 5:
If we divide 57 by 15, we get 3 and a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 2753.0
Subtracting 45 from 57 leaves us with 12.
Grab the next digit (7) from the dividend, add it to 12, then carry on: 127 / 15

Step 6:
15 can be fit into 127 8 times, resulting in a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 27538.0
Subtract 120 from 127 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
15 can be fit into 70 4 times, resulting in a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 27538.4
Subtract 60 from 70 to 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.

Moving on to step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 27538.46
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.

Going ahead to step 9:
15 goes into 100 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 27538.466
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.

Our division results in 27538.466 with a remaining 0.001.