We're dividing 77316 by 71 
We want to figure out the number of times 77316 can be divided by 71.

On to step 1:
The number 71 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 71

Step 2:
77 divided by 71 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 6 after subtracting 71 from 77.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 71

Step 3:
If we divide 63 by 71, we get 0 and a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtracting 0 from 63 leaves us with 63.
Take the next digit (1) from the dividend and append it to 63, then repeat: 631 / 71

Let's proceed to step 4:
The number 71 fits into 631 8 times, leaving a remainder of 63.
The number 8 becomes the next digit in our result. 
Result so far: 108.0
The remainder is 63 after subtracting 568 from 631.
Take the next digit (6) from the dividend and append it to 63, then repeat: 636 / 71

On to step 5:
When dividing 636 by 71, we get 8 with a remainder of 68.
Use 8 as the next digit of our solution. 
Result so far: 1088.0
Subtracting 568 from 636 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 6:
The number 71 fits into 680 9 times, leaving a remainder of 41.
The next digit of our result is 9. 
Result so far: 1088.9
Subtracting 639 from 680 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 7:
When dividing 410 by 71, we get 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 1088.95
The remainder is 55 after subtracting 355 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 8:
71 can be fit into 550 7 times, resulting in a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 1088.957
If we take 497 away from 550, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 9:
71 can be fit into 530 7 times, resulting in a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 1088.9577
If we take 497 away from 530, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Our division results in 1088.9577 with a remaining 0.00033.