25417421 ÷ 7 
Our goal is to divide 25417421 by 7.

Moving on to step 1:
When dividing 2 by 7, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 7

Advancing to step 2:
If we divide 25 by 7, we get 3 and a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 21 from 25 leaves us with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 7

Step 3:
7 can be fit into 44 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 36.0
Subtracting 42 from 44 leaves us with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 7

Advancing to step 4:
7 can be fit into 21 3 times, resulting in a remainder of 0.
The number 3 becomes the next digit in our result. 
Result so far: 363.0
If we take 21 away from 21, we end up with 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 7

Step 5:
If we divide 7 by 7, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 3631.0
If we take 7 away from 7, we end up with 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 7

Moving on to step 6:
7 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 36310.0
If we subtract 0 from 4, we get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 7

On to step 7:
When dividing 42 by 7, we get 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 363106.0
Deduct 42 from 42 and we're left with 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 7

Moving on to step 8:
When dividing 1 by 7, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 3631060.0
The remainder is 1 after subtracting 0 from 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 9:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 3631060.1
If we take 7 away from 10, 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.

On to step 10:
30 divided by 7 is 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 3631060.14
Subtract 28 from 30 to 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.

On to step 11:
20 divided by 7 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 3631060.142
Subtracting 14 from 20 leaves us 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.

Moving on to step 12:
When dividing 60 by 7, we get 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 3631060.1428
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 13:
7 can be fit into 40 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 3631060.14285
Subtract 35 from 40 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 14:
When dividing 50 by 7, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 3631060.142857
Subtract 49 from 50 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.

Advancing to step 15:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 3631060.1428571
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.

On to step 16:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 3631060.14285714
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.

The quotient of the division is 3631060.14285714, and the remainder is 2e-09.