682065 ÷ 84 
We want to divide 682065 by 84.

Going ahead to step 1:
The number 84 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 84

Step 2:
If we divide 68 by 84, we get 0 and a remainder of 68.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Grab the next digit (2) from the dividend, add it to 68, then carry on: 682 / 84

Let's proceed to step 3:
If we divide 682 by 84, we get 8 and a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 672 from 682 and we're left with 10.
Fetch the next digit (0) from the dividend, attach it to 10 and continue: 100 / 84

Moving on to step 4:
84 can be fit into 100 1 times, resulting in a remainder of 16.
The next digit of our result is 1. 
Result so far: 81.0
Subtracting 84 from 100 leaves us with 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 84

Step 5:
If we divide 166 by 84, we get 1 and a remainder of 82.
Put 1 as the next digit of the answer. 
Result so far: 811.0
If we subtract 84 from 166, we get 82.
Fetch the next digit (5) from the dividend, attach it to 82 and continue: 825 / 84

Advancing to step 6:
84 goes into 825 9 times with a remainder of 69.
The next digit of our result is 9. 
Result so far: 8119.0
Subtract 756 from 825 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 7:
When dividing 690 by 84, we get 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 8119.8
If we subtract 672 from 690, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
84 can be fit into 180 2 times, resulting in a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 8119.82
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
84 goes into 120 1 times with a remainder of 36.
Write down 1 as next digit of the result. 
Result so far: 8119.821
Subtracting 84 from 120 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
If we divide 360 by 84, we get 4 and a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 8119.8214
Subtracting 336 from 360 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 11:
If we divide 240 by 84, we get 2 and a remainder of 72.
The number 2 becomes the next digit in our result. 
Result so far: 8119.82142
Subtract 168 from 240 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 12:
The number 84 fits into 720 8 times, leaving a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 8119.821428
The remainder is 48 after subtracting 672 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 13:
480 divided by 84 is 5 with a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 8119.8214285
Subtract 420 from 480 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 14:
If we divide 600 by 84, we get 7 and a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 8119.82142857
If we subtract 588 from 600, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 8119.82142857 and a remainder of 1.2e-08.