Let's divide 765663 by 84
We want to figure out the number of times 765663 can be divided by 84.

On to step 1:
84 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 84

Let's proceed to step 2:
When dividing 76 by 84, we get 0 with a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 76 and we're left with 76.
Fetch the next digit (5) from the dividend, attach it to 76 and continue: 765 / 84

Let's proceed to step 3:
84 can be fit into 765 9 times, resulting in a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 756 away from 765, we end up with 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 84

Step 4:
The number 84 fits into 96 1 times, leaving a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 91.0
If we take 84 away from 96, we end up with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 84

Let's proceed to step 5:
If we divide 126 by 84, we get 1 and a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 911.0
Deduct 84 from 126 and we're left with 42.
Append the next digit (3) from the dividend to 42 and continue with: 423 / 84

Let's proceed to step 6:
84 can be fit into 423 5 times, resulting in a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 9115.0
If we take 420 away from 423, we end up 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.

On to step 7:
84 goes into 30 0 times with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 9115.0
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
84 can be fit into 300 3 times, resulting in a remainder of 48.
The number 3 becomes the next digit in our result. 
Result so far: 9115.03
The remainder is 48 after subtracting 252 from 300.
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 9:
The number 84 fits into 480 5 times, leaving a remainder of 60.
The next digit of our result is 5. 
Result so far: 9115.035
The remainder is 60 after subtracting 420 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 10:
The number 84 fits into 600 7 times, leaving a remainder of 12.
The next digit of our result is 7. 
Result so far: 9115.0357
Subtracting 588 from 600 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 11:
120 divided by 84 is 1 with a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 9115.03571
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 12:
When dividing 360 by 84, we get 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 9115.035714
If we take 336 away from 360, we end up 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.

Going ahead to step 13:
The number 84 fits into 240 2 times, leaving a remainder of 72.
The number 2 becomes the next digit in our result. 
Result so far: 9115.0357142
If we subtract 168 from 240, we 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.

Let's proceed to step 14:
720 divided by 84 is 8 with a remainder of 48.
The next digit of our result is 8. 
Result so far: 9115.03571428
Subtract 672 from 720 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

After the division, we end up with 9115.03571428 and a remainder of 4.8e-08.