Let's divide 953611 by 15
Our goal is to divide 953611 by 15.

Step 1:
If we divide 9 by 15, we get 0 and a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 15

Let's proceed to step 2:
15 goes into 95 6 times with a remainder of 5.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 90 from 95 leaves us with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 15

On to step 3:
15 can be fit into 53 3 times, resulting in a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 63.0
The remainder is 8 after subtracting 45 from 53.
Fetch the next digit (6) from the dividend, attach it to 8 and continue: 86 / 15

Going ahead to step 4:
The number 15 fits into 86 5 times, leaving a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 635.0
The remainder is 11 after subtracting 75 from 86.
Append the next digit (1) from the dividend to 11 and continue with: 111 / 15

Let's proceed to step 5:
15 goes into 111 7 times with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 6357.0
Subtract 105 from 111 to get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 15

Step 6:
61 divided by 15 is 4 with a remainder of 1.
The number 4 becomes the next digit in our result. 
Result so far: 63574.0
If we take 60 away from 61, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
15 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 63574.0
Subtracting 0 from 10 leaves us 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.

Moving on to step 8:
15 goes into 100 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 63574.06
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.

Moving on to step 9:
100 divided by 15 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 63574.066
Deduct 90 from 100 and we're left 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.

After the division, we end up with 63574.066 and a remainder of 0.001.