We're dividing 71515 by 9 
Let's see how many times 9 fits into 71515.

Step 1:
The number 9 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 9

On to step 2:
71 divided by 9 is 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 63 from 71 to get 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 9

Going ahead to step 3:
When dividing 85 by 9, we get 9 with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 79.0
Subtracting 81 from 85 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 9

Moving on to step 4:
9 can be fit into 41 4 times, resulting in a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 794.0
The remainder is 5 after subtracting 36 from 41.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 9

On to step 5:
When dividing 55 by 9, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 7946.0
The remainder is 1 after subtracting 54 from 55.
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 6:
If we divide 10 by 9, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 7946.1
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
When dividing 10 by 9, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 7946.11
Subtract 9 from 10 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 7946.11, and the remainder is 0.001.