Let's divide 7679 by 84
We're looking to find how many times 84 goes into 7679.

Going ahead to step 1:
When dividing 7 by 84, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 84

Going ahead to step 2:
76 divided by 84 is 0 with a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 76, we get 76.
Take the next digit (7) from the dividend and append it to 76, then repeat: 767 / 84

Advancing to step 3:
When dividing 767 by 84, we get 9 with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 756 from 767, we get 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 84

On to step 4:
119 divided by 84 is 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 91.0
The remainder is 35 after subtracting 84 from 119.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 5:
If we divide 350 by 84, we get 4 and a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 91.4
If we subtract 336 from 350, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 6:
84 can be fit into 140 1 times, resulting in a remainder of 56.
The next digit of our result is 1. 
Result so far: 91.41
Subtracting 84 from 140 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 7:
84 goes into 560 6 times with a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 91.416
Subtracting 504 from 560 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 8:
The number 84 fits into 560 6 times, leaving a remainder of 56.
Write down 6 as next digit of the result. 
Result so far: 91.4166
Deduct 504 from 560 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Our division results in 91.4166 with a remaining 0.00056.