We divide 75517 by 15
We want to divide 75517 by 15.

On to step 1:
If we divide 7 by 15, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 15

Going ahead to step 2:
75 divided by 15 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 75 away from 75, we end up with 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 15

Advancing to step 3:
The number 15 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 50.0
Subtract 0 from 5 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 15

Let's proceed to step 4:
15 can be fit into 51 3 times, resulting in a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 503.0
Deduct 45 from 51 and we're left with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 15

Step 5:
15 can be fit into 67 4 times, resulting in a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 5034.0
Subtracting 60 from 67 leaves us 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.

On to step 6:
The number 15 fits into 70 4 times, leaving a remainder of 10.
The next digit of our result is 4. 
Result so far: 5034.4
The remainder is 10 after subtracting 60 from 70.
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 7:
The number 15 fits into 100 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 5034.46
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.

Advancing to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 5034.466
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.

Our division results in 5034.466 with a remaining 0.001.