Let's divide 13676 by 47
We want to divide 13676 by 47.

On to step 1:
If we divide 1 by 47, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 47

Advancing to step 2:
If we divide 13 by 47, we get 0 and a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 47

Moving on to step 3:
When dividing 136 by 47, we get 2 with a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 94 away from 136, we end up with 42.
Bring next digit (7) of the dividend behind the 42 and repeat the process: 427 / 47

Moving on to step 4:
The number 47 fits into 427 9 times, leaving a remainder of 4.
The next digit of our result is 9. 
Result so far: 29.0
Subtracting 423 from 427 leaves us with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 47

On to step 5:
The number 47 fits into 46 0 times, leaving a remainder of 46.
Write down 0 as next digit of the result. 
Result so far: 290.0
The remainder is 46 after subtracting 0 from 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 6:
47 can be fit into 460 9 times, resulting in a remainder of 37.
Write down 9 as next digit of the result. 
Result so far: 290.9
The remainder is 37 after subtracting 423 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 7:
47 can be fit into 370 7 times, resulting in a remainder of 41.
Record the quotient 7 as the next digit in the result. 
Result so far: 290.97
If we take 329 away from 370, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 8:
When dividing 410 by 47, we get 8 with a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 290.978
If we subtract 376 from 410, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 9:
When dividing 340 by 47, we get 7 with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 290.9787
If we subtract 329 from 340, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
If we divide 110 by 47, we get 2 and a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 290.97872
If we take 94 away from 110, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
If we divide 160 by 47, we get 3 and a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 290.978723
Deduct 141 from 160 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 12:
47 goes into 190 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 290.9787234
Subtracting 188 from 190 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 13:
If we divide 20 by 47, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 290.9787234
Subtracting 0 from 20 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.

The final result is 290.9787234 with a remainder of 2e-08.