71321 divided by 17 
We're looking to find how many times 17 goes into 71321.

Advancing to step 1:
The number 17 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 17

Let's proceed to step 2:
17 can be fit into 71 4 times, resulting in a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 68 from 71, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 17

Let's proceed to step 3:
The number 17 fits into 33 1 times, leaving a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 41.0
Deduct 17 from 33 and we're left with 16.
Take the next digit (2) from the dividend and append it to 16, then repeat: 162 / 17

On to step 4:
17 goes into 162 9 times with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 419.0
The remainder is 9 after subtracting 153 from 162.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 17

Step 5:
17 can be fit into 91 5 times, resulting in a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 4195.0
Subtract 85 from 91 to get 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 6:
If we divide 60 by 17, we get 3 and a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 4195.3
Subtracting 51 from 60 leaves us with 9.
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 7:
17 goes into 90 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 4195.35
Subtracting 85 from 90 leaves us with 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 8:
17 goes into 50 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 4195.352
Deduct 34 from 50 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
The number 17 fits into 160 9 times, leaving a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 4195.3529
Deduct 153 from 160 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.

On to step 10:
17 can be fit into 70 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 4195.35294
Subtract 68 from 70 to get 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 11:
20 divided by 17 is 1 with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 4195.352941
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.

Moving on to step 12:
The number 17 fits into 30 1 times, leaving a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 4195.3529411
Deduct 17 from 30 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 4195.3529411, and the remainder is 1.3e-07.