We look at the division of 71677 by 86 
We want to figure out the number of times 71677 can be divided by 86.

Let's proceed to step 1:
7 divided by 86 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 86

Advancing to step 2:
When dividing 71 by 86, we get 0 with a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Take the next digit (6) from the dividend and append it to 71, then repeat: 716 / 86

Advancing to step 3:
If we divide 716 by 86, we get 8 and a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 688 from 716, we get 28.
Bring next digit (7) of the dividend behind the 28 and repeat the process: 287 / 86

Advancing to step 4:
The number 86 fits into 287 3 times, leaving a remainder of 29.
Write down 3 as next digit of the result. 
Result so far: 83.0
The remainder is 29 after subtracting 258 from 287.
Include the next digit (7) from the dividend after 29, then repeat: 297 / 86

Moving on to step 5:
The number 86 fits into 297 3 times, leaving a remainder of 39.
Use 3 as the next digit of our solution. 
Result so far: 833.0
If we take 258 away from 297, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 6:
If we divide 390 by 86, we get 4 and a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 833.4
Deduct 344 from 390 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 7:
460 divided by 86 is 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 833.45
Subtract 430 from 460 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
86 goes into 300 3 times with a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 833.453
Deduct 258 from 300 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 9:
If we divide 420 by 86, we get 4 and a remainder of 76.
Put 4 as the next digit of the answer. 
Result so far: 833.4534
Subtract 344 from 420 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 10:
The number 86 fits into 760 8 times, leaving a remainder of 72.
Put 8 as the next digit of the answer. 
Result so far: 833.45348
Subtracting 688 from 760 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 11:
86 can be fit into 720 8 times, resulting in a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 833.453488
Subtracting 688 from 720 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 833.453488, and the remainder is 3.2e-06.