We look at the division of 827639 by 15 
We want to figure out the number of times 827639 can be divided by 15.

Moving on to step 1:
If we divide 8 by 15, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 15

Advancing to step 2:
If we divide 82 by 15, we get 5 and a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 75 from 82 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 15

Let's proceed to step 3:
15 goes into 77 5 times with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 55.0
If we take 75 away from 77, we end up with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 15

Advancing to step 4:
15 can be fit into 26 1 times, resulting in a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 551.0
If we take 15 away from 26, we end up with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 15

Advancing to step 5:
When dividing 113 by 15, we get 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 5517.0
If we subtract 105 from 113, we get 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 15

Advancing to step 6:
If we divide 89 by 15, we get 5 and a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 55175.0
Deduct 75 from 89 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
15 goes into 140 9 times with a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 55175.9
The remainder is 5 after subtracting 135 from 140.
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 8:
The number 15 fits into 50 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 55175.93
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.

On to step 9:
If we divide 50 by 15, we get 3 and a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 55175.933
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 55175.933, and the remainder is 0.0005.