We're dividing 7827 by 13 
Let's see how many times 13 fits into 7827.

Advancing to step 1:
13 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 13

On to step 2:
13 goes into 78 6 times with a remainder of 0.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 0 after subtracting 78 from 78.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 13

Moving on to step 3:
13 goes into 2 0 times with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 13

Advancing to step 4:
If we divide 27 by 13, we get 2 and a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 602.0
If we take 26 away from 27, we end up with 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 5:
10 divided by 13 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 602.0
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 6:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 602.07
Subtracting 91 from 100 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 602.076
Subtract 78 from 90 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.

Advancing to step 8:
120 divided by 13 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 602.0769
Subtracting 117 from 120 leaves us 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 9:
When dividing 30 by 13, we get 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 602.07692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 602.076923
Subtract 39 from 40 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.

Moving on to step 11:
When dividing 10 by 13, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 602.076923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 602.07692307
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

The final outcome is 602.07692307, with a leftover of 9e-09.