We're dividing 561829 by 15 
We're looking to find how many times 15 goes into 561829.

Going ahead to step 1:
The number 15 fits into 5 0 times, leaving a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (6) from the dividend to 5 and continue with: 56 / 15

Advancing to step 2:
15 can be fit into 56 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 45 from 56 leaves us with 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 15

Step 3:
When dividing 111 by 15, we get 7 with a remainder of 6.
The next digit of our result is 7. 
Result so far: 37.0
If we take 105 away from 111, we end up with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 15

Advancing to step 4:
15 can be fit into 68 4 times, resulting in a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 374.0
If we subtract 60 from 68, we get 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 15

Advancing to step 5:
15 can be fit into 82 5 times, resulting in a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 3745.0
The remainder is 7 after subtracting 75 from 82.
Include the next digit (9) from the dividend after 7, then repeat: 79 / 15

On to step 6:
If we divide 79 by 15, we get 5 and a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 37455.0
If we subtract 75 from 79, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
15 goes into 40 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 37455.2
If we take 30 away from 40, 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.

Advancing to step 8:
100 divided by 15 is 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 37455.26
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.

Going ahead to step 9:
100 divided by 15 is 6 with a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 37455.266
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.

After the division, we end up with 37455.266 and a remainder of 0.001.