Let's divide 653917 by 15
We're looking to find how many times 15 goes into 653917.

On to step 1:
If we divide 6 by 15, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 15

Going ahead to step 2:
15 goes into 65 4 times with a remainder of 5.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 60 from 65, we get 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 15

Going ahead to step 3:
When dividing 53 by 15, we get 3 with a remainder of 8.
The next digit of our result is 3. 
Result so far: 43.0
The remainder is 8 after subtracting 45 from 53.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 15

On to step 4:
15 can be fit into 89 5 times, resulting in a remainder of 14.
The next digit of our result is 5. 
Result so far: 435.0
If we take 75 away from 89, we end up with 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 15

On to step 5:
The number 15 fits into 141 9 times, leaving a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 4359.0
Subtract 135 from 141 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 15

Going ahead to step 6:
67 divided by 15 is 4 with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 43594.0
Deduct 60 from 67 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 7:
The number 15 fits into 70 4 times, leaving a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 43594.4
Deduct 60 from 70 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.

Step 8:
100 divided by 15 is 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 43594.46
If we take 90 away from 100, 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.

On to step 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 43594.466
Subtracting 90 from 100 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.

After the division, we end up with 43594.466 and a remainder of 0.001.