Let's divide 13639 by 7
Our goal is to divide 13639 by 7.

Moving on to step 1:
7 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

On to step 2:
7 can be fit into 13 1 times, resulting in a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 7 from 13 leaves us with 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 7

Moving on to step 3:
66 divided by 7 is 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 19.0
Subtracting 63 from 66 leaves us with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 7

Advancing to step 4:
33 divided by 7 is 4 with a remainder of 5.
Put 4 as the next digit of the answer. 
Result so far: 194.0
The remainder is 5 after subtracting 28 from 33.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 7

Advancing to step 5:
When dividing 59 by 7, we get 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 1948.0
Subtracting 56 from 59 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.

Let's proceed to step 6:
The number 7 fits into 30 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 1948.4
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
If we divide 20 by 7, we get 2 and a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 1948.42
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
60 divided by 7 is 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 1948.428
If we subtract 56 from 60, we 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 9:
40 divided by 7 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 1948.4285
The remainder is 5 after subtracting 35 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
If we divide 50 by 7, we get 7 and a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 1948.42857
Subtracting 49 from 50 leaves us 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.

On to step 11:
When dividing 10 by 7, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1948.428571
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 12:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 1948.4285714
If we subtract 28 from 30, we get 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:
20 divided by 7 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 1948.42857142
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 1948.42857142 with a remaining 6e-09.