711767 ÷ 87 
We want to figure out the number of times 711767 can be divided by 87.

Moving on to step 1:
7 divided by 87 is 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 87

Going ahead to step 2:
71 divided by 87 is 0 with a remainder of 71.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 71 to get 71.
Include the next digit (1) from the dividend after 71, then repeat: 711 / 87

Going ahead to step 3:
87 can be fit into 711 8 times, resulting in a remainder of 15.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 696 from 711 to get 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 87

Going ahead to step 4:
If we divide 157 by 87, we get 1 and a remainder of 70.
The next digit of our result is 1. 
Result so far: 81.0
If we take 87 away from 157, we end up with 70.
Include the next digit (6) from the dividend after 70, then repeat: 706 / 87

Going ahead to step 5:
The number 87 fits into 706 8 times, leaving a remainder of 10.
The next digit of our result is 8. 
Result so far: 818.0
If we take 696 away from 706, we end up with 10.
Bring next digit (7) of the dividend behind the 10 and repeat the process: 107 / 87

Step 6:
The number 87 fits into 107 1 times, leaving a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 8181.0
Subtracting 87 from 107 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
87 goes into 200 2 times with a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 8181.2
Deduct 174 from 200 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
87 can be fit into 260 2 times, resulting in a remainder of 86.
The next digit of our result is 2. 
Result so far: 8181.22
Deduct 174 from 260 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Our division results in 8181.22 with a remaining 0.086.