We're dividing 7684 by 47 
We want to divide 7684 by 47.

Step 1:
47 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 47

Moving on to step 2:
47 can be fit into 76 1 times, resulting in a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 47 from 76 leaves us with 29.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 47

Moving on to step 3:
47 can be fit into 298 6 times, resulting in a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
The remainder is 16 after subtracting 282 from 298.
Take the next digit (4) from the dividend and append it to 16, then repeat: 164 / 47

Going ahead to step 4:
The number 47 fits into 164 3 times, leaving a remainder of 23.
The number 3 becomes the next digit in our result. 
Result so far: 163.0
Subtracting 141 from 164 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 5:
47 goes into 230 4 times with a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 163.4
If we subtract 188 from 230, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 6:
420 divided by 47 is 8 with a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 163.48
If we subtract 376 from 420, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 7:
47 goes into 440 9 times with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 163.489
Subtracting 423 from 440 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 8:
When dividing 170 by 47, we get 3 with a remainder of 29.
The next digit of our result is 3. 
Result so far: 163.4893
Subtract 141 from 170 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 9:
290 divided by 47 is 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 163.48936
If we take 282 away from 290, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 10:
47 goes into 80 1 times with a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 163.489361
If we take 47 away from 80, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 11:
If we divide 330 by 47, we get 7 and a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 163.4893617
Subtract 329 from 330 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 12:
47 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 163.4893617
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 163.4893617 with a remaining 1e-08.