We divide 12582 by 7
We want to divide 12582 by 7.

On to step 1:
If we divide 1 by 7, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 7

Let's proceed to step 2:
If we divide 12 by 7, we get 1 and a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 7 away from 12, we end up with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 7

Moving on to step 3:
55 divided by 7 is 7 with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 17.0
Deduct 49 from 55 and we're left with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 7

Moving on to step 4:
If we divide 68 by 7, we get 9 and a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 179.0
If we subtract 63 from 68, we get 5.
Grab the next digit (2) from the dividend, add it to 5, then carry on: 52 / 7

Let's proceed to step 5:
7 goes into 52 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 1797.0
If we take 49 away from 52, we end up 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.

Step 6:
7 goes into 30 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 1797.4
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.

Let's proceed to step 7:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 1797.42
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 1797.428
Subtract 56 from 60 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 9:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1797.4285
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:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 1797.42857
If we take 49 away from 50, 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.

Advancing to step 11:
If we divide 10 by 7, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1797.428571
If we subtract 7 from 10, we 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.

Step 12:
If we divide 30 by 7, we get 4 and a remainder of 2.
The next digit of our result is 4. 
Result so far: 1797.4285714
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.

Moving on to step 13:
7 can be fit into 20 2 times, resulting in a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 1797.42857142
If we take 14 away from 20, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 1797.42857142 and a remainder of 6e-09.