Let's divide 71516 by 17
We want to figure out the number of times 71516 can be divided by 17.

On to step 1:
17 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
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 / 17

Let's proceed to step 2:
17 goes into 71 4 times with a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 68 from 71 and we're left with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 17

Going ahead to step 3:
17 goes into 35 2 times with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Deduct 34 from 35 and we're left with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 17

Advancing to step 4:
When dividing 11 by 17, we get 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 420.0
If we subtract 0 from 11, we get 11.
Include the next digit (6) from the dividend after 11, then repeat: 116 / 17

Moving on to step 5:
The number 17 fits into 116 6 times, leaving a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 4206.0
Subtracting 102 from 116 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 6:
When dividing 140 by 17, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 4206.8
Subtract 136 from 140 to 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.

Let's proceed to step 7:
17 goes into 40 2 times with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 4206.82
Subtracting 34 from 40 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
When dividing 60 by 17, we get 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 4206.823
The remainder is 9 after subtracting 51 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 9:
The number 17 fits into 90 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 4206.8235
Subtract 85 from 90 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
17 can be fit into 50 2 times, resulting in a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 4206.82352
If we subtract 34 from 50, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 11:
The number 17 fits into 160 9 times, leaving a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 4206.823529
Subtract 153 from 160 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
The number 17 fits into 70 4 times, leaving a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 4206.8235294
Subtracting 68 from 70 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
17 goes into 20 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 4206.82352941
Subtracting 17 from 20 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 4206.82352941 with a remainder of 3e-09.