859561 ÷ 15 
Our goal is to divide 859561 by 15.

Let's proceed to step 1:
15 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 15

On to step 2:
85 divided by 15 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 75 from 85, we get 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 15

Step 3:
15 can be fit into 109 7 times, resulting in a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 57.0
If we take 105 away from 109, we end up with 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 15

Advancing to step 4:
15 can be fit into 45 3 times, resulting in a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 573.0
The remainder is 0 after subtracting 45 from 45.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 15

Going ahead to step 5:
15 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 5730.0
Subtract 0 from 6 to get 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 15

Going ahead to step 6:
When dividing 61 by 15, we get 4 with a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 57304.0
The remainder is 1 after subtracting 60 from 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
The number 15 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 57304.0
If we subtract 0 from 10, we 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.

Let's proceed to step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 57304.06
If we subtract 90 from 100, we 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.

Going ahead to step 9:
15 goes into 100 6 times with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 57304.066
Subtract 90 from 100 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.

The quotient of the division is 57304.066, and the remainder is 0.001.