Let's divide 289638 by 15
We want to figure out the number of times 289638 can be divided by 15.

On to step 1:
2 divided by 15 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 15

Moving on to step 2:
28 divided by 15 is 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 15 away from 28, we end up with 13.
Grab the next digit (9) from the dividend, add it to 13, then carry on: 139 / 15

Let's proceed to step 3:
15 can be fit into 139 9 times, resulting in a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
The remainder is 4 after subtracting 135 from 139.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 15

On to step 4:
46 divided by 15 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 193.0
If we subtract 45 from 46, we get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 15

On to step 5:
If we divide 13 by 15, we get 0 and a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 1930.0
If we subtract 0 from 13, we get 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 15

Step 6:
If we divide 138 by 15, we get 9 and a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 19309.0
Deduct 135 from 138 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
15 can be fit into 30 2 times, resulting in a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 19309.2
If we subtract 30 from 30, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
15 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 19309.2
Deduct 0 from 0 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 9:
If we divide 0 by 15, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 19309.2
Deduct 0 from 0 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.

The quotient of the division is 19309.2, and the remainder is 0.0.